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Finding the Fourth Proportional to 15,135.80, 22,688.10 and 6,819.80

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Solution

The fourth proportional to 15,135.80, 22,688.10 and 6,819.80 is: 10,222.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,135.80 : 22,688.10 = 6,819.80 : x
  2. Step 2: Convert to fraction form
    15,135.80/22,688.10 = 6,819.80/x
  3. Step 3: Cross multiply
    15,135.80x = 22,688.10 × 6,819.80
  4. Step 4: Simplify right side
    15,135.80x = 154,728,304.38
  5. Step 5: Solve for x
    x = 154,728,304.38/15,135.80
  6. Step 6: Final answer
    x = 10,222.67

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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.