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Finding the Fourth Proportional to 17,800.73, 24,565.14 and 9,734.42

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Solution

The fourth proportional to 17,800.73, 24,565.14 and 9,734.42 is: 13,433.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,800.73 : 24,565.14 = 9,734.42 : x
  2. Step 2: Convert to fraction form
    17,800.73/24,565.14 = 9,734.42/x
  3. Step 3: Cross multiply
    17,800.73x = 24,565.14 × 9,734.42
  4. Step 4: Simplify right side
    17,800.73x = 239,127,427.20
  5. Step 5: Solve for x
    x = 239,127,427.20/17,800.73
  6. Step 6: Final answer
    x = 13,433.57

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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.