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Finding the Fourth Proportional to 17,637.74, 24,340.02 and 9,680.10

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Solution

The fourth proportional to 17,637.74, 24,340.02 and 9,680.10 is: 13,358.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,637.74 : 24,340.02 = 9,680.10 : x
  2. Step 2: Convert to fraction form
    17,637.74/24,340.02 = 9,680.10/x
  3. Step 3: Cross multiply
    17,637.74x = 24,340.02 × 9,680.10
  4. Step 4: Simplify right side
    17,637.74x = 235,613,827.60
  5. Step 5: Solve for x
    x = 235,613,827.60/17,637.74
  6. Step 6: Final answer
    x = 13,358.50

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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.