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Finding the Fourth Proportional to 23,230.68, 32,059.14 and 13,159.40

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Solution

The fourth proportional to 23,230.68, 32,059.14 and 13,159.40 is: 18,160.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,230.68 : 32,059.14 = 13,159.40 : x
  2. Step 2: Convert to fraction form
    23,230.68/32,059.14 = 13,159.40/x
  3. Step 3: Cross multiply
    23,230.68x = 32,059.14 × 13,159.40
  4. Step 4: Simplify right side
    23,230.68x = 421,879,046.92
  5. Step 5: Solve for x
    x = 421,879,046.92/23,230.68
  6. Step 6: Final answer
    x = 18,160.43

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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.