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Finding the Fourth Proportional to 14,722.89, 20,318.13 and 8,436.48

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Solution

The fourth proportional to 14,722.89, 20,318.13 and 8,436.48 is: 11,642.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,722.89 : 20,318.13 = 8,436.48 : x
  2. Step 2: Convert to fraction form
    14,722.89/20,318.13 = 8,436.48/x
  3. Step 3: Cross multiply
    14,722.89x = 20,318.13 × 8,436.48
  4. Step 4: Simplify right side
    14,722.89x = 171,413,497.38
  5. Step 5: Solve for x
    x = 171,413,497.38/14,722.89
  6. Step 6: Final answer
    x = 11,642.65

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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.