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Finding the Fourth Proportional to 11,229.64, 15,487.80 and 9,882.36

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Solution

The fourth proportional to 11,229.64, 15,487.80 and 9,882.36 is: 13,629.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,229.64 : 15,487.80 = 9,882.36 : x
  2. Step 2: Convert to fraction form
    11,229.64/15,487.80 = 9,882.36/x
  3. Step 3: Cross multiply
    11,229.64x = 15,487.80 × 9,882.36
  4. Step 4: Simplify right side
    11,229.64x = 153,056,015.21
  5. Step 5: Solve for x
    x = 153,056,015.21/11,229.64
  6. Step 6: Final answer
    x = 13,629.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.