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Finding the Fourth Proportional to 23,073.74, 31,841.90 and 13,519.28

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Solution

The fourth proportional to 23,073.74, 31,841.90 and 13,519.28 is: 18,656.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,073.74 : 31,841.90 = 13,519.28 : x
  2. Step 2: Convert to fraction form
    23,073.74/31,841.90 = 13,519.28/x
  3. Step 3: Cross multiply
    23,073.74x = 31,841.90 × 13,519.28
  4. Step 4: Simplify right side
    23,073.74x = 430,479,436.42
  5. Step 5: Solve for x
    x = 430,479,436.42/23,073.74
  6. Step 6: Final answer
    x = 18,656.69

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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.