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Finding the Fourth Proportional to 14,665.38, 20,219.18 and 9,350.98

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Solution

The fourth proportional to 14,665.38, 20,219.18 and 9,350.98 is: 12,892.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,665.38 : 20,219.18 = 9,350.98 : x
  2. Step 2: Convert to fraction form
    14,665.38/20,219.18 = 9,350.98/x
  3. Step 3: Cross multiply
    14,665.38x = 20,219.18 × 9,350.98
  4. Step 4: Simplify right side
    14,665.38x = 189,069,147.80
  5. Step 5: Solve for x
    x = 189,069,147.80/14,665.38
  6. Step 6: Final answer
    x = 12,892.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.