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Finding the Fourth Proportional to 25,850.64, 38,774.70 and 8,320.08

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Solution

The fourth proportional to 25,850.64, 38,774.70 and 8,320.08 is: 12,479.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,850.64 : 38,774.70 = 8,320.08 : x
  2. Step 2: Convert to fraction form
    25,850.64/38,774.70 = 8,320.08/x
  3. Step 3: Cross multiply
    25,850.64x = 38,774.70 × 8,320.08
  4. Step 4: Simplify right side
    25,850.64x = 322,608,605.98
  5. Step 5: Solve for x
    x = 322,608,605.98/25,850.64
  6. Step 6: Final answer
    x = 12,479.71

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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.