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Finding the Fourth Proportional to 16,280.98, 24,405.86 and 5,181.54

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Solution

The fourth proportional to 16,280.98, 24,405.86 and 5,181.54 is: 7,767.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,280.98 : 24,405.86 = 5,181.54 : x
  2. Step 2: Convert to fraction form
    16,280.98/24,405.86 = 5,181.54/x
  3. Step 3: Cross multiply
    16,280.98x = 24,405.86 × 5,181.54
  4. Step 4: Simplify right side
    16,280.98x = 126,459,939.82
  5. Step 5: Solve for x
    x = 126,459,939.82/16,280.98
  6. Step 6: Final answer
    x = 7,767.34

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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.