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Finding the Fourth Proportional to 24,645.04, 36,985.36 and 9,858.08

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Solution

The fourth proportional to 24,645.04, 36,985.36 and 9,858.08 is: 14,794.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,645.04 : 36,985.36 = 9,858.08 : x
  2. Step 2: Convert to fraction form
    24,645.04/36,985.36 = 9,858.08/x
  3. Step 3: Cross multiply
    24,645.04x = 36,985.36 × 9,858.08
  4. Step 4: Simplify right side
    24,645.04x = 364,604,637.71
  5. Step 5: Solve for x
    x = 364,604,637.71/24,645.04
  6. Step 6: Final answer
    x = 14,794.24

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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.