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Finding the Fourth Proportional to 38,409.77, 57,614.65 and 12,116.56

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Solution

The fourth proportional to 38,409.77, 57,614.65 and 12,116.56 is: 18,174.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,409.77 : 57,614.65 = 12,116.56 : x
  2. Step 2: Convert to fraction form
    38,409.77/57,614.65 = 12,116.56/x
  3. Step 3: Cross multiply
    38,409.77x = 57,614.65 × 12,116.56
  4. Step 4: Simplify right side
    38,409.77x = 698,091,363.60
  5. Step 5: Solve for x
    x = 698,091,363.60/38,409.77
  6. Step 6: Final answer
    x = 18,174.84

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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.