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Finding the Fourth Proportional to 12,287.70, 18,431.55 and 5,711.70

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Solution

The fourth proportional to 12,287.70, 18,431.55 and 5,711.70 is: 8,567.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,287.70 : 18,431.55 = 5,711.70 : x
  2. Step 2: Convert to fraction form
    12,287.70/18,431.55 = 5,711.70/x
  3. Step 3: Cross multiply
    12,287.70x = 18,431.55 × 5,711.70
  4. Step 4: Simplify right side
    12,287.70x = 105,275,484.14
  5. Step 5: Solve for x
    x = 105,275,484.14/12,287.70
  6. Step 6: Final answer
    x = 8,567.55

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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.