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Finding the Fourth Proportional to 25,800.46, 38,706.16 and 8,282.59

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Solution

The fourth proportional to 25,800.46, 38,706.16 and 8,282.59 is: 12,425.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,800.46 : 38,706.16 = 8,282.59 : x
  2. Step 2: Convert to fraction form
    25,800.46/38,706.16 = 8,282.59/x
  3. Step 3: Cross multiply
    25,800.46x = 38,706.16 × 8,282.59
  4. Step 4: Simplify right side
    25,800.46x = 320,587,253.75
  5. Step 5: Solve for x
    x = 320,587,253.75/25,800.46
  6. Step 6: Final answer
    x = 12,425.64

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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.