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Finding the Fourth Proportional to 17,614.72, 24,308.16 and 9,656.80

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Solution

The fourth proportional to 17,614.72, 24,308.16 and 9,656.80 is: 13,326.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,614.72 : 24,308.16 = 9,656.80 : x
  2. Step 2: Convert to fraction form
    17,614.72/24,308.16 = 9,656.80/x
  3. Step 3: Cross multiply
    17,614.72x = 24,308.16 × 9,656.80
  4. Step 4: Simplify right side
    17,614.72x = 234,739,039.49
  5. Step 5: Solve for x
    x = 234,739,039.49/17,614.72
  6. Step 6: Final answer
    x = 13,326.30

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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.