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Finding the Fourth Proportional to 25,792.32, 38,685.90 and 8,257.44

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Solution

The fourth proportional to 25,792.32, 38,685.90 and 8,257.44 is: 12,385.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,792.32 : 38,685.90 = 8,257.44 : x
  2. Step 2: Convert to fraction form
    25,792.32/38,685.90 = 8,257.44/x
  3. Step 3: Cross multiply
    25,792.32x = 38,685.90 × 8,257.44
  4. Step 4: Simplify right side
    25,792.32x = 319,446,498.10
  5. Step 5: Solve for x
    x = 319,446,498.10/25,792.32
  6. Step 6: Final answer
    x = 12,385.33

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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.