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Finding the Fourth Proportional to 23,104.74, 31,885.01 and 13,031.21

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Solution

The fourth proportional to 23,104.74, 31,885.01 and 13,031.21 is: 17,983.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,104.74 : 31,885.01 = 13,031.21 : x
  2. Step 2: Convert to fraction form
    23,104.74/31,885.01 = 13,031.21/x
  3. Step 3: Cross multiply
    23,104.74x = 31,885.01 × 13,031.21
  4. Step 4: Simplify right side
    23,104.74x = 415,500,324.59
  5. Step 5: Solve for x
    x = 415,500,324.59/23,104.74
  6. Step 6: Final answer
    x = 17,983.33

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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.