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Finding the Fourth Proportional to 24,750.27, 34,155 and 13,419.54

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Solution

The fourth proportional to 24,750.27, 34,155 and 13,419.54 is: 18,518.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,750.27 : 34,155 = 13,419.54 : x
  2. Step 2: Convert to fraction form
    24,750.27/34,155 = 13,419.54/x
  3. Step 3: Cross multiply
    24,750.27x = 34,155 × 13,419.54
  4. Step 4: Simplify right side
    24,750.27x = 458,344,388.70
  5. Step 5: Solve for x
    x = 458,344,388.70/24,750.27
  6. Step 6: Final answer
    x = 18,518.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.