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Finding the Fourth Proportional to 17,446.42, 24,070.26 and 9,891.82

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Solution

The fourth proportional to 17,446.42, 24,070.26 and 9,891.82 is: 13,647.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,446.42 : 24,070.26 = 9,891.82 : x
  2. Step 2: Convert to fraction form
    17,446.42/24,070.26 = 9,891.82/x
  3. Step 3: Cross multiply
    17,446.42x = 24,070.26 × 9,891.82
  4. Step 4: Simplify right side
    17,446.42x = 238,098,679.27
  5. Step 5: Solve for x
    x = 238,098,679.27/17,446.42
  6. Step 6: Final answer
    x = 13,647.42

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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.