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Finding the Fourth Proportional to 14,882.56, 22,323.20 and 4,494

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Solution

The fourth proportional to 14,882.56, 22,323.20 and 4,494 is: 6,740.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,882.56 : 22,323.20 = 4,494 : x
  2. Step 2: Convert to fraction form
    14,882.56/22,323.20 = 4,494/x
  3. Step 3: Cross multiply
    14,882.56x = 22,323.20 × 4,494
  4. Step 4: Simplify right side
    14,882.56x = 100,320,460.80
  5. Step 5: Solve for x
    x = 100,320,460.80/14,882.56
  6. Step 6: Final answer
    x = 6,740.81

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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.