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Finding the Fourth Proportional to 17,886.38, 24,679.53 and 9,926.91

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Solution

The fourth proportional to 17,886.38, 24,679.53 and 9,926.91 is: 13,697.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,886.38 : 24,679.53 = 9,926.91 : x
  2. Step 2: Convert to fraction form
    17,886.38/24,679.53 = 9,926.91/x
  3. Step 3: Cross multiply
    17,886.38x = 24,679.53 × 9,926.91
  4. Step 4: Simplify right side
    17,886.38x = 244,991,473.15
  5. Step 5: Solve for x
    x = 244,991,473.15/17,886.38
  6. Step 6: Final answer
    x = 13,697.10

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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.