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Finding the Fourth Proportional to 17,489.32, 24,115.80 and 13,705.72

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Solution

The fourth proportional to 17,489.32, 24,115.80 and 13,705.72 is: 18,898.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,489.32 : 24,115.80 = 13,705.72 : x
  2. Step 2: Convert to fraction form
    17,489.32/24,115.80 = 13,705.72/x
  3. Step 3: Cross multiply
    17,489.32x = 24,115.80 × 13,705.72
  4. Step 4: Simplify right side
    17,489.32x = 330,524,402.38
  5. Step 5: Solve for x
    x = 330,524,402.38/17,489.32
  6. Step 6: Final answer
    x = 18,898.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.