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Finding the Fourth Proportional to 23,487.97, 32,409.86 and 13,414.26

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Solution

The fourth proportional to 23,487.97, 32,409.86 and 13,414.26 is: 18,509.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,487.97 : 32,409.86 = 13,414.26 : x
  2. Step 2: Convert to fraction form
    23,487.97/32,409.86 = 13,414.26/x
  3. Step 3: Cross multiply
    23,487.97x = 32,409.86 × 13,414.26
  4. Step 4: Simplify right side
    23,487.97x = 434,754,288.60
  5. Step 5: Solve for x
    x = 434,754,288.60/23,487.97
  6. Step 6: Final answer
    x = 18,509.66

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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.