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Finding the Fourth Proportional to 15,144.22, 20,899.26 and 8,429.92

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Solution

The fourth proportional to 15,144.22, 20,899.26 and 8,429.92 is: 11,633.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,144.22 : 20,899.26 = 8,429.92 : x
  2. Step 2: Convert to fraction form
    15,144.22/20,899.26 = 8,429.92/x
  3. Step 3: Cross multiply
    15,144.22x = 20,899.26 × 8,429.92
  4. Step 4: Simplify right side
    15,144.22x = 176,179,089.86
  5. Step 5: Solve for x
    x = 176,179,089.86/15,144.22
  6. Step 6: Final answer
    x = 11,633.42

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