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Finding the Fourth Proportional to 14,902.36, 20,565.24 and 8,187.97

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Solution

The fourth proportional to 14,902.36, 20,565.24 and 8,187.97 is: 11,299.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,902.36 : 20,565.24 = 8,187.97 : x
  2. Step 2: Convert to fraction form
    14,902.36/20,565.24 = 8,187.97/x
  3. Step 3: Cross multiply
    14,902.36x = 20,565.24 × 8,187.97
  4. Step 4: Simplify right side
    14,902.36x = 168,387,424.40
  5. Step 5: Solve for x
    x = 168,387,424.40/14,902.36
  6. Step 6: Final answer
    x = 11,299.38

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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.