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Finding the Fourth Proportional to 10,923.28, 16,375.92 and 9,069.28

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Solution

The fourth proportional to 10,923.28, 16,375.92 and 9,069.28 is: 13,596.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,923.28 : 16,375.92 = 9,069.28 : x
  2. Step 2: Convert to fraction form
    10,923.28/16,375.92 = 9,069.28/x
  3. Step 3: Cross multiply
    10,923.28x = 16,375.92 × 9,069.28
  4. Step 4: Simplify right side
    10,923.28x = 148,517,803.74
  5. Step 5: Solve for x
    x = 148,517,803.74/10,923.28
  6. Step 6: Final answer
    x = 13,596.45

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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.