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Finding the Fourth Proportional to 13,592.32, 20,394.24 and 7,429.12

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Solution

The fourth proportional to 13,592.32, 20,394.24 and 7,429.12 is: 11,146.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,592.32 : 20,394.24 = 7,429.12 : x
  2. Step 2: Convert to fraction form
    13,592.32/20,394.24 = 7,429.12/x
  3. Step 3: Cross multiply
    13,592.32x = 20,394.24 × 7,429.12
  4. Step 4: Simplify right side
    13,592.32x = 151,511,256.27
  5. Step 5: Solve for x
    x = 151,511,256.27/13,592.32
  6. Step 6: Final answer
    x = 11,146.83

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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.