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Finding the Fourth Proportional to 25,827.64, 38,737.80 and 8,295.19

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Solution

The fourth proportional to 25,827.64, 38,737.80 and 8,295.19 is: 12,441.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,827.64 : 38,737.80 = 8,295.19 : x
  2. Step 2: Convert to fraction form
    25,827.64/38,737.80 = 8,295.19/x
  3. Step 3: Cross multiply
    25,827.64x = 38,737.80 × 8,295.19
  4. Step 4: Simplify right side
    25,827.64x = 321,337,411.18
  5. Step 5: Solve for x
    x = 321,337,411.18/25,827.64
  6. Step 6: Final answer
    x = 12,441.61

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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.