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Finding the Fourth Proportional to 19,944.72, 29,917.20 and 8,257.74

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Solution

The fourth proportional to 19,944.72, 29,917.20 and 8,257.74 is: 12,386.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,944.72 : 29,917.20 = 8,257.74 : x
  2. Step 2: Convert to fraction form
    19,944.72/29,917.20 = 8,257.74/x
  3. Step 3: Cross multiply
    19,944.72x = 29,917.20 × 8,257.74
  4. Step 4: Simplify right side
    19,944.72x = 247,048,459.13
  5. Step 5: Solve for x
    x = 247,048,459.13/19,944.72
  6. Step 6: Final answer
    x = 12,386.66

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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.