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Finding the Fourth Proportional to 34,774.76, 52,170.24 and 11,399.78

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Solution

The fourth proportional to 34,774.76, 52,170.24 and 11,399.78 is: 17,102.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,774.76 : 52,170.24 = 11,399.78 : x
  2. Step 2: Convert to fraction form
    34,774.76/52,170.24 = 11,399.78/x
  3. Step 3: Cross multiply
    34,774.76x = 52,170.24 × 11,399.78
  4. Step 4: Simplify right side
    34,774.76x = 594,729,258.55
  5. Step 5: Solve for x
    x = 594,729,258.55/34,774.76
  6. Step 6: Final answer
    x = 17,102.33

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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.