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Finding the Fourth Proportional to 15,323.76, 22,949.28 and 9,462.72

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Solution

The fourth proportional to 15,323.76, 22,949.28 and 9,462.72 is: 14,171.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,323.76 : 22,949.28 = 9,462.72 : x
  2. Step 2: Convert to fraction form
    15,323.76/22,949.28 = 9,462.72/x
  3. Step 3: Cross multiply
    15,323.76x = 22,949.28 × 9,462.72
  4. Step 4: Simplify right side
    15,323.76x = 217,162,610.84
  5. Step 5: Solve for x
    x = 217,162,610.84/15,323.76
  6. Step 6: Final answer
    x = 14,171.63

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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.