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Finding the Fourth Proportional to 23,472.32, 32,394.50 and 13,402.20

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Solution

The fourth proportional to 23,472.32, 32,394.50 and 13,402.20 is: 18,496.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,472.32 : 32,394.50 = 13,402.20 : x
  2. Step 2: Convert to fraction form
    23,472.32/32,394.50 = 13,402.20/x
  3. Step 3: Cross multiply
    23,472.32x = 32,394.50 × 13,402.20
  4. Step 4: Simplify right side
    23,472.32x = 434,157,567.90
  5. Step 5: Solve for x
    x = 434,157,567.90/23,472.32
  6. Step 6: Final answer
    x = 18,496.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.