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Finding the Fourth Proportional to 17,400.57, 24,012.75 and 9,442.78

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Solution

The fourth proportional to 17,400.57, 24,012.75 and 9,442.78 is: 13,031.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,400.57 : 24,012.75 = 9,442.78 : x
  2. Step 2: Convert to fraction form
    17,400.57/24,012.75 = 9,442.78/x
  3. Step 3: Cross multiply
    17,400.57x = 24,012.75 × 9,442.78
  4. Step 4: Simplify right side
    17,400.57x = 226,747,115.45
  5. Step 5: Solve for x
    x = 226,747,115.45/17,400.57
  6. Step 6: Final answer
    x = 13,031.02

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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.