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Finding the Fourth Proportional to 12,887.28, 17,784.88 and 7,221.96

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Solution

The fourth proportional to 12,887.28, 17,784.88 and 7,221.96 is: 9,966.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,887.28 : 17,784.88 = 7,221.96 : x
  2. Step 2: Convert to fraction form
    12,887.28/17,784.88 = 7,221.96/x
  3. Step 3: Cross multiply
    12,887.28x = 17,784.88 × 7,221.96
  4. Step 4: Simplify right side
    12,887.28x = 128,441,691.96
  5. Step 5: Solve for x
    x = 128,441,691.96/12,887.28
  6. Step 6: Final answer
    x = 9,966.55

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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.