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Finding the Fourth Proportional to 25,376.27, 38,068.02 and 7,847.46

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Solution

The fourth proportional to 25,376.27, 38,068.02 and 7,847.46 is: 11,772.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,376.27 : 38,068.02 = 7,847.46 : x
  2. Step 2: Convert to fraction form
    25,376.27/38,068.02 = 7,847.46/x
  3. Step 3: Cross multiply
    25,376.27x = 38,068.02 × 7,847.46
  4. Step 4: Simplify right side
    25,376.27x = 298,737,264.23
  5. Step 5: Solve for x
    x = 298,737,264.23/25,376.27
  6. Step 6: Final answer
    x = 11,772.31

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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.