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Finding the Fourth Proportional to 25,310.50, 37,965.76 and 6,842.50

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Solution

The fourth proportional to 25,310.50, 37,965.76 and 6,842.50 is: 10,263.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,310.50 : 37,965.76 = 6,842.50 : x
  2. Step 2: Convert to fraction form
    25,310.50/37,965.76 = 6,842.50/x
  3. Step 3: Cross multiply
    25,310.50x = 37,965.76 × 6,842.50
  4. Step 4: Simplify right side
    25,310.50x = 259,780,712.80
  5. Step 5: Solve for x
    x = 259,780,712.80/25,310.50
  6. Step 6: Final answer
    x = 10,263.75

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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.