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Finding the Fourth Proportional to 11,727.68, 17,591.52 and 9,123.20

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Solution

The fourth proportional to 11,727.68, 17,591.52 and 9,123.20 is: 13,684.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,727.68 : 17,591.52 = 9,123.20 : x
  2. Step 2: Convert to fraction form
    11,727.68/17,591.52 = 9,123.20/x
  3. Step 3: Cross multiply
    11,727.68x = 17,591.52 × 9,123.20
  4. Step 4: Simplify right side
    11,727.68x = 160,490,955.26
  5. Step 5: Solve for x
    x = 160,490,955.26/11,727.68
  6. Step 6: Final answer
    x = 13,684.80

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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.