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Finding the Fourth Proportional to 38,377.60, 57,571.64 and 13,411.85

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Solution

The fourth proportional to 38,377.60, 57,571.64 and 13,411.85 is: 20,119.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,377.60 : 57,571.64 = 13,411.85 : x
  2. Step 2: Convert to fraction form
    38,377.60/57,571.64 = 13,411.85/x
  3. Step 3: Cross multiply
    38,377.60x = 57,571.64 × 13,411.85
  4. Step 4: Simplify right side
    38,377.60x = 772,142,343.35
  5. Step 5: Solve for x
    x = 772,142,343.35/38,377.60
  6. Step 6: Final answer
    x = 20,119.61

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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.