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Finding the Fourth Proportional to 17,637.75, 24,338.88 and 9,678.42

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Solution

The fourth proportional to 17,637.75, 24,338.88 and 9,678.42 is: 13,355.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,637.75 : 24,338.88 = 9,678.42 : x
  2. Step 2: Convert to fraction form
    17,637.75/24,338.88 = 9,678.42/x
  3. Step 3: Cross multiply
    17,637.75x = 24,338.88 × 9,678.42
  4. Step 4: Simplify right side
    17,637.75x = 235,561,902.97
  5. Step 5: Solve for x
    x = 235,561,902.97/17,637.75
  6. Step 6: Final answer
    x = 13,355.55

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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.