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Finding the Fourth Proportional to 38,423.64, 57,650.82 and 13,801.56

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Solution

The fourth proportional to 38,423.64, 57,650.82 and 13,801.56 is: 20,707.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,423.64 : 57,650.82 = 13,801.56 : x
  2. Step 2: Convert to fraction form
    38,423.64/57,650.82 = 13,801.56/x
  3. Step 3: Cross multiply
    38,423.64x = 57,650.82 × 13,801.56
  4. Step 4: Simplify right side
    38,423.64x = 795,671,251.28
  5. Step 5: Solve for x
    x = 795,671,251.28/38,423.64
  6. Step 6: Final answer
    x = 20,707.86

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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.