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Finding the Fourth Proportional to 14,824.92, 22,246.11 and 5,471.52

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Solution

The fourth proportional to 14,824.92, 22,246.11 and 5,471.52 is: 8,210.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,824.92 : 22,246.11 = 5,471.52 : x
  2. Step 2: Convert to fraction form
    14,824.92/22,246.11 = 5,471.52/x
  3. Step 3: Cross multiply
    14,824.92x = 22,246.11 × 5,471.52
  4. Step 4: Simplify right side
    14,824.92x = 121,720,035.79
  5. Step 5: Solve for x
    x = 121,720,035.79/14,824.92
  6. Step 6: Final answer
    x = 8,210.50

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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.