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Finding the Fourth Proportional to 23,478.88, 32,401.14 and 12,868.29

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Solution

The fourth proportional to 23,478.88, 32,401.14 and 12,868.29 is: 17,758.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,478.88 : 32,401.14 = 12,868.29 : x
  2. Step 2: Convert to fraction form
    23,478.88/32,401.14 = 12,868.29/x
  3. Step 3: Cross multiply
    23,478.88x = 32,401.14 × 12,868.29
  4. Step 4: Simplify right side
    23,478.88x = 416,947,265.85
  5. Step 5: Solve for x
    x = 416,947,265.85/23,478.88
  6. Step 6: Final answer
    x = 17,758.40

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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.