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Finding the Fourth Proportional to 12,770.72, 17,632.32 and 9,781.28

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Solution

The fourth proportional to 12,770.72, 17,632.32 and 9,781.28 is: 13,504.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,770.72 : 17,632.32 = 9,781.28 : x
  2. Step 2: Convert to fraction form
    12,770.72/17,632.32 = 9,781.28/x
  3. Step 3: Cross multiply
    12,770.72x = 17,632.32 × 9,781.28
  4. Step 4: Simplify right side
    12,770.72x = 172,466,658.97
  5. Step 5: Solve for x
    x = 172,466,658.97/12,770.72
  6. Step 6: Final answer
    x = 13,504.85

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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.