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Finding the Fourth Proportional to 13,158.87, 19,712.28 and 6,909.53

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Solution

The fourth proportional to 13,158.87, 19,712.28 and 6,909.53 is: 10,350.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,158.87 : 19,712.28 = 6,909.53 : x
  2. Step 2: Convert to fraction form
    13,158.87/19,712.28 = 6,909.53/x
  3. Step 3: Cross multiply
    13,158.87x = 19,712.28 × 6,909.53
  4. Step 4: Simplify right side
    13,158.87x = 136,202,491.47
  5. Step 5: Solve for x
    x = 136,202,491.47/13,158.87
  6. Step 6: Final answer
    x = 10,350.62

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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.