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Finding the Fourth Proportional to 14,816.70, 20,449.98 and 9,781.20

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Solution

The fourth proportional to 14,816.70, 20,449.98 and 9,781.20 is: 13,499.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,816.70 : 20,449.98 = 9,781.20 : x
  2. Step 2: Convert to fraction form
    14,816.70/20,449.98 = 9,781.20/x
  3. Step 3: Cross multiply
    14,816.70x = 20,449.98 × 9,781.20
  4. Step 4: Simplify right side
    14,816.70x = 200,025,344.38
  5. Step 5: Solve for x
    x = 200,025,344.38/14,816.70
  6. Step 6: Final answer
    x = 13,499.99

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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.