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Finding the Fourth Proportional to 13,257.68, 19,882.64 and 5,860.24

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Solution

The fourth proportional to 13,257.68, 19,882.64 and 5,860.24 is: 8,788.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,257.68 : 19,882.64 = 5,860.24 : x
  2. Step 2: Convert to fraction form
    13,257.68/19,882.64 = 5,860.24/x
  3. Step 3: Cross multiply
    13,257.68x = 19,882.64 × 5,860.24
  4. Step 4: Simplify right side
    13,257.68x = 116,517,042.23
  5. Step 5: Solve for x
    x = 116,517,042.23/13,257.68
  6. Step 6: Final answer
    x = 8,788.64

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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.