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Finding the Fourth Proportional to 14,882.75, 22,340.55 and 8,649.80

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Solution

The fourth proportional to 14,882.75, 22,340.55 and 8,649.80 is: 12,984.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,882.75 : 22,340.55 = 8,649.80 : x
  2. Step 2: Convert to fraction form
    14,882.75/22,340.55 = 8,649.80/x
  3. Step 3: Cross multiply
    14,882.75x = 22,340.55 × 8,649.80
  4. Step 4: Simplify right side
    14,882.75x = 193,241,289.39
  5. Step 5: Solve for x
    x = 193,241,289.39/14,882.75
  6. Step 6: Final answer
    x = 12,984.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.