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Finding the Fourth Proportional to 16,402,606.90, 24,603,910.35 and 6,824,859.10

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Solution

The fourth proportional to 16,402,606.90, 24,603,910.35 and 6,824,859.10 is: 10,237,288.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402,606.90 : 24,603,910.35 = 6,824,859.10 : x
  2. Step 2: Convert to fraction form
    16,402,606.90/24,603,910.35 = 6,824,859.10/x
  3. Step 3: Cross multiply
    16,402,606.90x = 24,603,910.35 × 6,824,859.10
  4. Step 4: Simplify right side
    16,402,606.90x = 167,918,221,447,781.69
  5. Step 5: Solve for x
    x = 167,918,221,447,781.69/16,402,606.90
  6. Step 6: Final answer
    x = 10,237,288.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.