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Finding the Fourth Proportional to 25,866.42, 38,806.11 and 8,335.86

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Solution

The fourth proportional to 25,866.42, 38,806.11 and 8,335.86 is: 12,505.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,866.42 : 38,806.11 = 8,335.86 : x
  2. Step 2: Convert to fraction form
    25,866.42/38,806.11 = 8,335.86/x
  3. Step 3: Cross multiply
    25,866.42x = 38,806.11 × 8,335.86
  4. Step 4: Simplify right side
    25,866.42x = 323,482,300.10
  5. Step 5: Solve for x
    x = 323,482,300.10/25,866.42
  6. Step 6: Final answer
    x = 12,505.88

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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.