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Finding the Fourth Proportional to 23,209.78, 32,031.08 and 13,138.19

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Solution

The fourth proportional to 23,209.78, 32,031.08 and 13,138.19 is: 18,131.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,209.78 : 32,031.08 = 13,138.19 : x
  2. Step 2: Convert to fraction form
    23,209.78/32,031.08 = 13,138.19/x
  3. Step 3: Cross multiply
    23,209.78x = 32,031.08 × 13,138.19
  4. Step 4: Simplify right side
    23,209.78x = 420,830,414.95
  5. Step 5: Solve for x
    x = 420,830,414.95/23,209.78
  6. Step 6: Final answer
    x = 18,131.60

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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.