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Finding the Fourth Proportional to 12,228.65, 16,875.49 and 6,923.96

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Solution

The fourth proportional to 12,228.65, 16,875.49 and 6,923.96 is: 9,555.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,228.65 : 16,875.49 = 6,923.96 : x
  2. Step 2: Convert to fraction form
    12,228.65/16,875.49 = 6,923.96/x
  3. Step 3: Cross multiply
    12,228.65x = 16,875.49 × 6,923.96
  4. Step 4: Simplify right side
    12,228.65x = 116,845,217.74
  5. Step 5: Solve for x
    x = 116,845,217.74/12,228.65
  6. Step 6: Final answer
    x = 9,555.04

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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.