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Finding the Fourth Proportional to 23,522.80, 32,461.13 and 12,912.47

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Solution

The fourth proportional to 23,522.80, 32,461.13 and 12,912.47 is: 17,819.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,522.80 : 32,461.13 = 12,912.47 : x
  2. Step 2: Convert to fraction form
    23,522.80/32,461.13 = 12,912.47/x
  3. Step 3: Cross multiply
    23,522.80x = 32,461.13 × 12,912.47
  4. Step 4: Simplify right side
    23,522.80x = 419,153,302.73
  5. Step 5: Solve for x
    x = 419,153,302.73/23,522.80
  6. Step 6: Final answer
    x = 17,819.03

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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.