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Finding the Fourth Proportional to 17,637.74, 24,340.06 and 9,680.03

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Solution

The fourth proportional to 17,637.74, 24,340.06 and 9,680.03 is: 13,358.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,637.74 : 24,340.06 = 9,680.03 : x
  2. Step 2: Convert to fraction form
    17,637.74/24,340.06 = 9,680.03/x
  3. Step 3: Cross multiply
    17,637.74x = 24,340.06 × 9,680.03
  4. Step 4: Simplify right side
    17,637.74x = 235,612,462.60
  5. Step 5: Solve for x
    x = 235,612,462.60/17,637.74
  6. Step 6: Final answer
    x = 13,358.43

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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.