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Finding the Fourth Proportional to 38,415.60, 57,627.24 and 13,785.84

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Solution

The fourth proportional to 38,415.60, 57,627.24 and 13,785.84 is: 20,680.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,415.60 : 57,627.24 = 13,785.84 : x
  2. Step 2: Convert to fraction form
    38,415.60/57,627.24 = 13,785.84/x
  3. Step 3: Cross multiply
    38,415.60x = 57,627.24 × 13,785.84
  4. Step 4: Simplify right side
    38,415.60x = 794,439,910.28
  5. Step 5: Solve for x
    x = 794,439,910.28/38,415.60
  6. Step 6: Final answer
    x = 20,680.14

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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.