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Finding the Fourth Proportional to 15,211.76, 22,822.20 and 5,852.62

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Solution

The fourth proportional to 15,211.76, 22,822.20 and 5,852.62 is: 8,780.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,211.76 : 22,822.20 = 5,852.62 : x
  2. Step 2: Convert to fraction form
    15,211.76/22,822.20 = 5,852.62/x
  3. Step 3: Cross multiply
    15,211.76x = 22,822.20 × 5,852.62
  4. Step 4: Simplify right side
    15,211.76x = 133,569,664.16
  5. Step 5: Solve for x
    x = 133,569,664.16/15,211.76
  6. Step 6: Final answer
    x = 8,780.68

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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.