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Finding the Fourth Proportional to 23,471.52, 32,391.99 and 13,403.19

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Solution

The fourth proportional to 23,471.52, 32,391.99 and 13,403.19 is: 18,497.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,471.52 : 32,391.99 = 13,403.19 : x
  2. Step 2: Convert to fraction form
    23,471.52/32,391.99 = 13,403.19/x
  3. Step 3: Cross multiply
    23,471.52x = 32,391.99 × 13,403.19
  4. Step 4: Simplify right side
    23,471.52x = 434,155,996.45
  5. Step 5: Solve for x
    x = 434,155,996.45/23,471.52
  6. Step 6: Final answer
    x = 18,497.14

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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.