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Finding the Fourth Proportional to 12,882.52, 19,323.88 and 4,562.57

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Solution

The fourth proportional to 12,882.52, 19,323.88 and 4,562.57 is: 6,843.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,882.52 : 19,323.88 = 4,562.57 : x
  2. Step 2: Convert to fraction form
    12,882.52/19,323.88 = 4,562.57/x
  3. Step 3: Cross multiply
    12,882.52x = 19,323.88 × 4,562.57
  4. Step 4: Simplify right side
    12,882.52x = 88,166,555.17
  5. Step 5: Solve for x
    x = 88,166,555.17/12,882.52
  6. Step 6: Final answer
    x = 6,843.89

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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.