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Finding the Fourth Proportional to 12,230.28, 16,873.38 and 6,923.16

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Solution

The fourth proportional to 12,230.28, 16,873.38 and 6,923.16 is: 9,551.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,230.28 : 16,873.38 = 6,923.16 : x
  2. Step 2: Convert to fraction form
    12,230.28/16,873.38 = 6,923.16/x
  3. Step 3: Cross multiply
    12,230.28x = 16,873.38 × 6,923.16
  4. Step 4: Simplify right side
    12,230.28x = 116,817,109.48
  5. Step 5: Solve for x
    x = 116,817,109.48/12,230.28
  6. Step 6: Final answer
    x = 9,551.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.