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Finding the Fourth Proportional to 16,426, 24,633.78 and 5,330.13

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Solution

The fourth proportional to 16,426, 24,633.78 and 5,330.13 is: 7,993.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,426 : 24,633.78 = 5,330.13 : x
  2. Step 2: Convert to fraction form
    16,426/24,633.78 = 5,330.13/x
  3. Step 3: Cross multiply
    16,426x = 24,633.78 × 5,330.13
  4. Step 4: Simplify right side
    16,426x = 131,301,249.79
  5. Step 5: Solve for x
    x = 131,301,249.79/16,426
  6. Step 6: Final answer
    x = 7,993.50

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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.