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Finding the Fourth Proportional to 13,882.58, 20,782.96 and 8,937.53

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Solution

The fourth proportional to 13,882.58, 20,782.96 and 8,937.53 is: 13,379.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,882.58 : 20,782.96 = 8,937.53 : x
  2. Step 2: Convert to fraction form
    13,882.58/20,782.96 = 8,937.53/x
  3. Step 3: Cross multiply
    13,882.58x = 20,782.96 × 8,937.53
  4. Step 4: Simplify right side
    13,882.58x = 185,748,202.23
  5. Step 5: Solve for x
    x = 185,748,202.23/13,882.58
  6. Step 6: Final answer
    x = 13,379.95

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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.