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Finding the Fourth Proportional to 14,653.80, 20,224.24 and 8,987.54

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Solution

The fourth proportional to 14,653.80, 20,224.24 and 8,987.54 is: 12,404.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,653.80 : 20,224.24 = 8,987.54 : x
  2. Step 2: Convert to fraction form
    14,653.80/20,224.24 = 8,987.54/x
  3. Step 3: Cross multiply
    14,653.80x = 20,224.24 × 8,987.54
  4. Step 4: Simplify right side
    14,653.80x = 181,766,042.38
  5. Step 5: Solve for x
    x = 181,766,042.38/14,653.80
  6. Step 6: Final answer
    x = 12,404.02

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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.