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Finding the Fourth Proportional to 23,159.70, 31,960.17 and 13,597.92

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Solution

The fourth proportional to 23,159.70, 31,960.17 and 13,597.92 is: 18,765.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,159.70 : 31,960.17 = 13,597.92 : x
  2. Step 2: Convert to fraction form
    23,159.70/31,960.17 = 13,597.92/x
  3. Step 3: Cross multiply
    23,159.70x = 31,960.17 × 13,597.92
  4. Step 4: Simplify right side
    23,159.70x = 434,591,834.85
  5. Step 5: Solve for x
    x = 434,591,834.85/23,159.70
  6. Step 6: Final answer
    x = 18,765.00

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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.