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Finding the Fourth Proportional to 14,882.81, 22,308.48 and 5,388.80

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Solution

The fourth proportional to 14,882.81, 22,308.48 and 5,388.80 is: 8,077.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,882.81 : 22,308.48 = 5,388.80 : x
  2. Step 2: Convert to fraction form
    14,882.81/22,308.48 = 5,388.80/x
  3. Step 3: Cross multiply
    14,882.81x = 22,308.48 × 5,388.80
  4. Step 4: Simplify right side
    14,882.81x = 120,215,825.48
  5. Step 5: Solve for x
    x = 120,215,825.48/14,882.81
  6. Step 6: Final answer
    x = 8,077.50

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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.