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Finding the Fourth Proportional to 16,144.27, 24,202.72 and 6,290.41

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Solution

The fourth proportional to 16,144.27, 24,202.72 and 6,290.41 is: 9,430.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,144.27 : 24,202.72 = 6,290.41 : x
  2. Step 2: Convert to fraction form
    16,144.27/24,202.72 = 6,290.41/x
  3. Step 3: Cross multiply
    16,144.27x = 24,202.72 × 6,290.41
  4. Step 4: Simplify right side
    16,144.27x = 152,245,031.92
  5. Step 5: Solve for x
    x = 152,245,031.92/16,144.27
  6. Step 6: Final answer
    x = 9,430.28

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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.