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Finding the Fourth Proportional to 24,569.25, 36,854.13 and 6,101.25

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Solution

The fourth proportional to 24,569.25, 36,854.13 and 6,101.25 is: 9,151.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,569.25 : 36,854.13 = 6,101.25 : x
  2. Step 2: Convert to fraction form
    24,569.25/36,854.13 = 6,101.25/x
  3. Step 3: Cross multiply
    24,569.25x = 36,854.13 × 6,101.25
  4. Step 4: Simplify right side
    24,569.25x = 224,856,260.66
  5. Step 5: Solve for x
    x = 224,856,260.66/24,569.25
  6. Step 6: Final answer
    x = 9,151.94

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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.