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Finding the Fourth Proportional to 22,755.60, 34,140.08 and 11,670

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Solution

The fourth proportional to 22,755.60, 34,140.08 and 11,670 is: 17,508.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,755.60 : 34,140.08 = 11,670 : x
  2. Step 2: Convert to fraction form
    22,755.60/34,140.08 = 11,670/x
  3. Step 3: Cross multiply
    22,755.60x = 34,140.08 × 11,670
  4. Step 4: Simplify right side
    22,755.60x = 398,414,733.60
  5. Step 5: Solve for x
    x = 398,414,733.60/22,755.60
  6. Step 6: Final answer
    x = 17,508.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.