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Finding the Fourth Proportional to 25,380.64, 38,071.68 and 6,912.64

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Solution

The fourth proportional to 25,380.64, 38,071.68 and 6,912.64 is: 10,369.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,380.64 : 38,071.68 = 6,912.64 : x
  2. Step 2: Convert to fraction form
    25,380.64/38,071.68 = 6,912.64/x
  3. Step 3: Cross multiply
    25,380.64x = 38,071.68 × 6,912.64
  4. Step 4: Simplify right side
    25,380.64x = 263,175,818.04
  5. Step 5: Solve for x
    x = 263,175,818.04/25,380.64
  6. Step 6: Final answer
    x = 10,369.16

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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.