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Finding the Fourth Proportional to 25,614.42, 38,427.81 and 8,084.20

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Solution

The fourth proportional to 25,614.42, 38,427.81 and 8,084.20 is: 12,128.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,614.42 : 38,427.81 = 8,084.20 : x
  2. Step 2: Convert to fraction form
    25,614.42/38,427.81 = 8,084.20/x
  3. Step 3: Cross multiply
    25,614.42x = 38,427.81 × 8,084.20
  4. Step 4: Simplify right side
    25,614.42x = 310,657,869.04
  5. Step 5: Solve for x
    x = 310,657,869.04/25,614.42
  6. Step 6: Final answer
    x = 12,128.24

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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.