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Finding the Fourth Proportional to 23,474.67, 32,398.14 and 13,400.83

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Solution

The fourth proportional to 23,474.67, 32,398.14 and 13,400.83 is: 18,494.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,474.67 : 32,398.14 = 13,400.83 : x
  2. Step 2: Convert to fraction form
    23,474.67/32,398.14 = 13,400.83/x
  3. Step 3: Cross multiply
    23,474.67x = 32,398.14 × 13,400.83
  4. Step 4: Simplify right side
    23,474.67x = 434,161,966.46
  5. Step 5: Solve for x
    x = 434,161,966.46/23,474.67
  6. Step 6: Final answer
    x = 18,494.91

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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.