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Finding the Fourth Proportional to 12,351.60, 18,522 and 3,586.32

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Solution

The fourth proportional to 12,351.60, 18,522 and 3,586.32 is: 5,377.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,351.60 : 18,522 = 3,586.32 : x
  2. Step 2: Convert to fraction form
    12,351.60/18,522 = 3,586.32/x
  3. Step 3: Cross multiply
    12,351.60x = 18,522 × 3,586.32
  4. Step 4: Simplify right side
    12,351.60x = 66,425,819.04
  5. Step 5: Solve for x
    x = 66,425,819.04/12,351.60
  6. Step 6: Final answer
    x = 5,377.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.