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Finding the Fourth Proportional to 17,711.90, 24,442.38 and 9,754.14

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Solution

The fourth proportional to 17,711.90, 24,442.38 and 9,754.14 is: 13,460.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,711.90 : 24,442.38 = 9,754.14 : x
  2. Step 2: Convert to fraction form
    17,711.90/24,442.38 = 9,754.14/x
  3. Step 3: Cross multiply
    17,711.90x = 24,442.38 × 9,754.14
  4. Step 4: Simplify right side
    17,711.90x = 238,414,396.45
  5. Step 5: Solve for x
    x = 238,414,396.45/17,711.90
  6. Step 6: Final answer
    x = 13,460.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.