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Finding the Fourth Proportional to 15,711.80, 23,567.70 and 13,767.80

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Solution

The fourth proportional to 15,711.80, 23,567.70 and 13,767.80 is: 20,651.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,711.80 : 23,567.70 = 13,767.80 : x
  2. Step 2: Convert to fraction form
    15,711.80/23,567.70 = 13,767.80/x
  3. Step 3: Cross multiply
    15,711.80x = 23,567.70 × 13,767.80
  4. Step 4: Simplify right side
    15,711.80x = 324,475,380.06
  5. Step 5: Solve for x
    x = 324,475,380.06/15,711.80
  6. Step 6: Final answer
    x = 20,651.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.