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Finding the Fourth Proportional to 16,339.14, 22,542.87 and 9,264.20

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Solution

The fourth proportional to 16,339.14, 22,542.87 and 9,264.20 is: 12,781.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,339.14 : 22,542.87 = 9,264.20 : x
  2. Step 2: Convert to fraction form
    16,339.14/22,542.87 = 9,264.20/x
  3. Step 3: Cross multiply
    16,339.14x = 22,542.87 × 9,264.20
  4. Step 4: Simplify right side
    16,339.14x = 208,841,578.28
  5. Step 5: Solve for x
    x = 208,841,578.28/16,339.14
  6. Step 6: Final answer
    x = 12,781.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.