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Finding the Fourth Proportional to 15,380.98, 23,071.46 and 3,694.20

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Solution

The fourth proportional to 15,380.98, 23,071.46 and 3,694.20 is: 5,541.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,380.98 : 23,071.46 = 3,694.20 : x
  2. Step 2: Convert to fraction form
    15,380.98/23,071.46 = 3,694.20/x
  3. Step 3: Cross multiply
    15,380.98x = 23,071.46 × 3,694.20
  4. Step 4: Simplify right side
    15,380.98x = 85,230,587.53
  5. Step 5: Solve for x
    x = 85,230,587.53/15,380.98
  6. Step 6: Final answer
    x = 5,541.30

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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.