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Finding the Fourth Proportional to 24,876.92, 37,309.98 and 7,342.76

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Solution

The fourth proportional to 24,876.92, 37,309.98 and 7,342.76 is: 11,012.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,876.92 : 37,309.98 = 7,342.76 : x
  2. Step 2: Convert to fraction form
    24,876.92/37,309.98 = 7,342.76/x
  3. Step 3: Cross multiply
    24,876.92x = 37,309.98 × 7,342.76
  4. Step 4: Simplify right side
    24,876.92x = 273,958,228.74
  5. Step 5: Solve for x
    x = 273,958,228.74/24,876.92
  6. Step 6: Final answer
    x = 11,012.55

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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.