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Finding the Fourth Proportional to 16,029.72, 24,044.76 and 5,642.28

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Solution

The fourth proportional to 16,029.72, 24,044.76 and 5,642.28 is: 8,463.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,029.72 : 24,044.76 = 5,642.28 : x
  2. Step 2: Convert to fraction form
    16,029.72/24,044.76 = 5,642.28/x
  3. Step 3: Cross multiply
    16,029.72x = 24,044.76 × 5,642.28
  4. Step 4: Simplify right side
    16,029.72x = 135,667,268.45
  5. Step 5: Solve for x
    x = 135,667,268.45/16,029.72
  6. Step 6: Final answer
    x = 8,463.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.