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Finding the Fourth Proportional to 12,228.60, 16,873.38 and 7,191.84

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Solution

The fourth proportional to 12,228.60, 16,873.38 and 7,191.84 is: 9,923.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,228.60 : 16,873.38 = 7,191.84 : x
  2. Step 2: Convert to fraction form
    12,228.60/16,873.38 = 7,191.84/x
  3. Step 3: Cross multiply
    12,228.60x = 16,873.38 × 7,191.84
  4. Step 4: Simplify right side
    12,228.60x = 121,350,649.22
  5. Step 5: Solve for x
    x = 121,350,649.22/12,228.60
  6. Step 6: Final answer
    x = 9,923.51

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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.