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Finding the Fourth Proportional to 17,710.60, 24,431.66 and 11,000.20

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Solution

The fourth proportional to 17,710.60, 24,431.66 and 11,000.20 is: 15,174.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,710.60 : 24,431.66 = 11,000.20 : x
  2. Step 2: Convert to fraction form
    17,710.60/24,431.66 = 11,000.20/x
  3. Step 3: Cross multiply
    17,710.60x = 24,431.66 × 11,000.20
  4. Step 4: Simplify right side
    17,710.60x = 268,753,146.33
  5. Step 5: Solve for x
    x = 268,753,146.33/17,710.60
  6. Step 6: Final answer
    x = 15,174.71

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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.