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Finding the Fourth Proportional to 14,819.95, 22,231.09 and 4,959.26

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Solution

The fourth proportional to 14,819.95, 22,231.09 and 4,959.26 is: 7,439.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,819.95 : 22,231.09 = 4,959.26 : x
  2. Step 2: Convert to fraction form
    14,819.95/22,231.09 = 4,959.26/x
  3. Step 3: Cross multiply
    14,819.95x = 22,231.09 × 4,959.26
  4. Step 4: Simplify right side
    14,819.95x = 110,249,755.39
  5. Step 5: Solve for x
    x = 110,249,755.39/14,819.95
  6. Step 6: Final answer
    x = 7,439.28

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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.