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Finding the Fourth Proportional to 38,499.44, 57,742.68 and 13,558

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Solution

The fourth proportional to 38,499.44, 57,742.68 and 13,558 is: 20,334.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,499.44 : 57,742.68 = 13,558 : x
  2. Step 2: Convert to fraction form
    38,499.44/57,742.68 = 13,558/x
  3. Step 3: Cross multiply
    38,499.44x = 57,742.68 × 13,558
  4. Step 4: Simplify right side
    38,499.44x = 782,875,255.44
  5. Step 5: Solve for x
    x = 782,875,255.44/38,499.44
  6. Step 6: Final answer
    x = 20,334.72

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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.