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Finding the Fourth Proportional to 14,819.22, 22,217.22 and 7,419.96

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Solution

The fourth proportional to 14,819.22, 22,217.22 and 7,419.96 is: 11,124.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,819.22 : 22,217.22 = 7,419.96 : x
  2. Step 2: Convert to fraction form
    14,819.22/22,217.22 = 7,419.96/x
  3. Step 3: Cross multiply
    14,819.22x = 22,217.22 × 7,419.96
  4. Step 4: Simplify right side
    14,819.22x = 164,850,883.71
  5. Step 5: Solve for x
    x = 164,850,883.71/14,819.22
  6. Step 6: Final answer
    x = 11,124.13

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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.