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Finding the Fourth Proportional to 14,819.14, 22,214.13 and 7,033.42

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Solution

The fourth proportional to 14,819.14, 22,214.13 and 7,033.42 is: 10,543.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,819.14 : 22,214.13 = 7,033.42 : x
  2. Step 2: Convert to fraction form
    14,819.14/22,214.13 = 7,033.42/x
  3. Step 3: Cross multiply
    14,819.14x = 22,214.13 × 7,033.42
  4. Step 4: Simplify right side
    14,819.14x = 156,241,306.22
  5. Step 5: Solve for x
    x = 156,241,306.22/14,819.14
  6. Step 6: Final answer
    x = 10,543.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.