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Finding the Fourth Proportional to 14,821.14, 22,217.13 and 7,035.42

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Solution

The fourth proportional to 14,821.14, 22,217.13 and 7,035.42 is: 10,546.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,821.14 : 22,217.13 = 7,035.42 : x
  2. Step 2: Convert to fraction form
    14,821.14/22,217.13 = 7,035.42/x
  3. Step 3: Cross multiply
    14,821.14x = 22,217.13 × 7,035.42
  4. Step 4: Simplify right side
    14,821.14x = 156,306,840.74
  5. Step 5: Solve for x
    x = 156,306,840.74/14,821.14
  6. Step 6: Final answer
    x = 10,546.21

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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.