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Finding the Fourth Proportional to 13,932, 20,901.24 and 10,029.42

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Solution

The fourth proportional to 13,932, 20,901.24 and 10,029.42 is: 15,046.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,932 : 20,901.24 = 10,029.42 : x
  2. Step 2: Convert to fraction form
    13,932/20,901.24 = 10,029.42/x
  3. Step 3: Cross multiply
    13,932x = 20,901.24 × 10,029.42
  4. Step 4: Simplify right side
    13,932x = 209,627,314.48
  5. Step 5: Solve for x
    x = 209,627,314.48/13,932
  6. Step 6: Final answer
    x = 15,046.46

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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.