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Finding the Fourth Proportional to 14,809.11, 22,217.24 and 4,949.11

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Solution

The fourth proportional to 14,809.11, 22,217.24 and 4,949.11 is: 7,424.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,809.11 : 22,217.24 = 4,949.11 : x
  2. Step 2: Convert to fraction form
    14,809.11/22,217.24 = 4,949.11/x
  3. Step 3: Cross multiply
    14,809.11x = 22,217.24 × 4,949.11
  4. Step 4: Simplify right side
    14,809.11x = 109,955,564.66
  5. Step 5: Solve for x
    x = 109,955,564.66/14,809.11
  6. Step 6: Final answer
    x = 7,424.86

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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.