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Finding the Fourth Proportional to 17,614.18, 24,308.13 and 9,656.34

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Solution

The fourth proportional to 17,614.18, 24,308.13 and 9,656.34 is: 13,326.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,614.18 : 24,308.13 = 9,656.34 : x
  2. Step 2: Convert to fraction form
    17,614.18/24,308.13 = 9,656.34/x
  3. Step 3: Cross multiply
    17,614.18x = 24,308.13 × 9,656.34
  4. Step 4: Simplify right side
    17,614.18x = 234,727,568.04
  5. Step 5: Solve for x
    x = 234,727,568.04/17,614.18
  6. Step 6: Final answer
    x = 13,326.06

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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.