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Finding the Fourth Proportional to 24,144.71, 36,227.06 and 13,038.34

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Solution

The fourth proportional to 24,144.71, 36,227.06 and 13,038.34 is: 19,562.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,144.71 : 36,227.06 = 13,038.34 : x
  2. Step 2: Convert to fraction form
    24,144.71/36,227.06 = 13,038.34/x
  3. Step 3: Cross multiply
    24,144.71x = 36,227.06 × 13,038.34
  4. Step 4: Simplify right side
    24,144.71x = 472,340,725.48
  5. Step 5: Solve for x
    x = 472,340,725.48/24,144.71
  6. Step 6: Final answer
    x = 19,562.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.