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Finding the Fourth Proportional to 15,287.76, 22,933.13 and 5,424.73

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Solution

The fourth proportional to 15,287.76, 22,933.13 and 5,424.73 is: 8,137.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,287.76 : 22,933.13 = 5,424.73 : x
  2. Step 2: Convert to fraction form
    15,287.76/22,933.13 = 5,424.73/x
  3. Step 3: Cross multiply
    15,287.76x = 22,933.13 × 5,424.73
  4. Step 4: Simplify right side
    15,287.76x = 124,405,953.85
  5. Step 5: Solve for x
    x = 124,405,953.85/15,287.76
  6. Step 6: Final answer
    x = 8,137.62

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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.