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Finding the Fourth Proportional to 23,402.54, 32,295.57 and 13,970.90

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Solution

The fourth proportional to 23,402.54, 32,295.57 and 13,970.90 is: 19,279.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,402.54 : 32,295.57 = 13,970.90 : x
  2. Step 2: Convert to fraction form
    23,402.54/32,295.57 = 13,970.90/x
  3. Step 3: Cross multiply
    23,402.54x = 32,295.57 × 13,970.90
  4. Step 4: Simplify right side
    23,402.54x = 451,198,178.91
  5. Step 5: Solve for x
    x = 451,198,178.91/23,402.54
  6. Step 6: Final answer
    x = 19,279.88

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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.