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Finding the Fourth Proportional to 25,269.38, 37,890.67 and 7,734.50

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Solution

The fourth proportional to 25,269.38, 37,890.67 and 7,734.50 is: 11,597.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,269.38 : 37,890.67 = 7,734.50 : x
  2. Step 2: Convert to fraction form
    25,269.38/37,890.67 = 7,734.50/x
  3. Step 3: Cross multiply
    25,269.38x = 37,890.67 × 7,734.50
  4. Step 4: Simplify right side
    25,269.38x = 293,065,387.12
  5. Step 5: Solve for x
    x = 293,065,387.12/25,269.38
  6. Step 6: Final answer
    x = 11,597.65

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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.