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Finding the Fourth Proportional to 12,117.87, 18,177.21 and 3,798.16

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Solution

The fourth proportional to 12,117.87, 18,177.21 and 3,798.16 is: 5,697.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,117.87 : 18,177.21 = 3,798.16 : x
  2. Step 2: Convert to fraction form
    12,117.87/18,177.21 = 3,798.16/x
  3. Step 3: Cross multiply
    12,117.87x = 18,177.21 × 3,798.16
  4. Step 4: Simplify right side
    12,117.87x = 69,039,906.49
  5. Step 5: Solve for x
    x = 69,039,906.49/12,117.87
  6. Step 6: Final answer
    x = 5,697.36

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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.