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Finding the Fourth Proportional to 17,494.47, 24,142.61 and 9,536.82

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Solution

The fourth proportional to 17,494.47, 24,142.61 and 9,536.82 is: 13,160.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,494.47 : 24,142.61 = 9,536.82 : x
  2. Step 2: Convert to fraction form
    17,494.47/24,142.61 = 9,536.82/x
  3. Step 3: Cross multiply
    17,494.47x = 24,142.61 × 9,536.82
  4. Step 4: Simplify right side
    17,494.47x = 230,243,725.90
  5. Step 5: Solve for x
    x = 230,243,725.90/17,494.47
  6. Step 6: Final answer
    x = 13,160.94

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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.