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Finding the Fourth Proportional to 17,494.32, 24,142.02 and 9,536.40

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Solution

The fourth proportional to 17,494.32, 24,142.02 and 9,536.40 is: 13,160.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,494.32 : 24,142.02 = 9,536.40 : x
  2. Step 2: Convert to fraction form
    17,494.32/24,142.02 = 9,536.40/x
  3. Step 3: Cross multiply
    17,494.32x = 24,142.02 × 9,536.40
  4. Step 4: Simplify right side
    17,494.32x = 230,227,959.53
  5. Step 5: Solve for x
    x = 230,227,959.53/17,494.32
  6. Step 6: Final answer
    x = 13,160.15

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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.