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Finding the Fourth Proportional to 24,887, 34,345.68 and 16,505.12

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Solution

The fourth proportional to 24,887, 34,345.68 and 16,505.12 is: 22,778.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,887 : 34,345.68 = 16,505.12 : x
  2. Step 2: Convert to fraction form
    24,887/34,345.68 = 16,505.12/x
  3. Step 3: Cross multiply
    24,887x = 34,345.68 × 16,505.12
  4. Step 4: Simplify right side
    24,887x = 566,879,569.88
  5. Step 5: Solve for x
    x = 566,879,569.88/24,887
  6. Step 6: Final answer
    x = 22,778.14

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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.