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Finding the Fourth Proportional to 25,821.64, 38,737.50 and 8,290.12

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Solution

The fourth proportional to 25,821.64, 38,737.50 and 8,290.12 is: 12,436.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,821.64 : 38,737.50 = 8,290.12 : x
  2. Step 2: Convert to fraction form
    25,821.64/38,737.50 = 8,290.12/x
  3. Step 3: Cross multiply
    25,821.64x = 38,737.50 × 8,290.12
  4. Step 4: Simplify right side
    25,821.64x = 321,138,523.50
  5. Step 5: Solve for x
    x = 321,138,523.50/25,821.64
  6. Step 6: Final answer
    x = 12,436.80

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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.