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Finding the Fourth Proportional to 23,009.68, 31,753.20 and 13,073.68

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Solution

The fourth proportional to 23,009.68, 31,753.20 and 13,073.68 is: 18,041.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,009.68 : 31,753.20 = 13,073.68 : x
  2. Step 2: Convert to fraction form
    23,009.68/31,753.20 = 13,073.68/x
  3. Step 3: Cross multiply
    23,009.68x = 31,753.20 × 13,073.68
  4. Step 4: Simplify right side
    23,009.68x = 415,131,175.78
  5. Step 5: Solve for x
    x = 415,131,175.78/23,009.68
  6. Step 6: Final answer
    x = 18,041.59

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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.