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Finding the Fourth Proportional to 17,638.73, 24,341.36 and 9,681.08

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Solution

The fourth proportional to 17,638.73, 24,341.36 and 9,681.08 is: 13,359.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,638.73 : 24,341.36 = 9,681.08 : x
  2. Step 2: Convert to fraction form
    17,638.73/24,341.36 = 9,681.08/x
  3. Step 3: Cross multiply
    17,638.73x = 24,341.36 × 9,681.08
  4. Step 4: Simplify right side
    17,638.73x = 235,650,665.92
  5. Step 5: Solve for x
    x = 235,650,665.92/17,638.73
  6. Step 6: Final answer
    x = 13,359.85

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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.