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Finding the Fourth Proportional to 24,746.92, 34,142.87 and 15,176.97

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Solution

The fourth proportional to 24,746.92, 34,142.87 and 15,176.97 is: 20,939.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,746.92 : 34,142.87 = 15,176.97 : x
  2. Step 2: Convert to fraction form
    24,746.92/34,142.87 = 15,176.97/x
  3. Step 3: Cross multiply
    24,746.92x = 34,142.87 × 15,176.97
  4. Step 4: Simplify right side
    24,746.92x = 518,185,266.28
  5. Step 5: Solve for x
    x = 518,185,266.28/24,746.92
  6. Step 6: Final answer
    x = 20,939.39

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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.