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Finding the Fourth Proportional to 25,269.50, 37,890.86 and 7,734.62

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Solution

The fourth proportional to 25,269.50, 37,890.86 and 7,734.62 is: 11,597.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,269.50 : 37,890.86 = 7,734.62 : x
  2. Step 2: Convert to fraction form
    25,269.50/37,890.86 = 7,734.62/x
  3. Step 3: Cross multiply
    25,269.50x = 37,890.86 × 7,734.62
  4. Step 4: Simplify right side
    25,269.50x = 293,071,459.63
  5. Step 5: Solve for x
    x = 293,071,459.63/25,269.50
  6. Step 6: Final answer
    x = 11,597.83

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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.