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Finding the Fourth Proportional to 15,211.85, 22,818.59 and 4,824.41

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Solution

The fourth proportional to 15,211.85, 22,818.59 and 4,824.41 is: 7,236.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,211.85 : 22,818.59 = 4,824.41 : x
  2. Step 2: Convert to fraction form
    15,211.85/22,818.59 = 4,824.41/x
  3. Step 3: Cross multiply
    15,211.85x = 22,818.59 × 4,824.41
  4. Step 4: Simplify right side
    15,211.85x = 110,086,095.57
  5. Step 5: Solve for x
    x = 110,086,095.57/15,211.85
  6. Step 6: Final answer
    x = 7,236.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.