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Finding the Fourth Proportional to 16,281.45, 24,424.01 and 5,185.47

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Solution

The fourth proportional to 16,281.45, 24,424.01 and 5,185.47 is: 7,778.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,281.45 : 24,424.01 = 5,185.47 : x
  2. Step 2: Convert to fraction form
    16,281.45/24,424.01 = 5,185.47/x
  3. Step 3: Cross multiply
    16,281.45x = 24,424.01 × 5,185.47
  4. Step 4: Simplify right side
    16,281.45x = 126,649,945.21
  5. Step 5: Solve for x
    x = 126,649,945.21/16,281.45
  6. Step 6: Final answer
    x = 7,778.79

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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.