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Finding the Fourth Proportional to 17,567.68, 24,243.92 and 9,609.76

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Solution

The fourth proportional to 17,567.68, 24,243.92 and 9,609.76 is: 13,261.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,567.68 : 24,243.92 = 9,609.76 : x
  2. Step 2: Convert to fraction form
    17,567.68/24,243.92 = 9,609.76/x
  3. Step 3: Cross multiply
    17,567.68x = 24,243.92 × 9,609.76
  4. Step 4: Simplify right side
    17,567.68x = 232,978,252.66
  5. Step 5: Solve for x
    x = 232,978,252.66/17,567.68
  6. Step 6: Final answer
    x = 13,261.75

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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.