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Finding the Fourth Proportional to 24,825.75, 34,258.83 and 13,494.89

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Solution

The fourth proportional to 24,825.75, 34,258.83 and 13,494.89 is: 18,622.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,825.75 : 34,258.83 = 13,494.89 : x
  2. Step 2: Convert to fraction form
    24,825.75/34,258.83 = 13,494.89/x
  3. Step 3: Cross multiply
    24,825.75x = 34,258.83 × 13,494.89
  4. Step 4: Simplify right side
    24,825.75x = 462,318,971.08
  5. Step 5: Solve for x
    x = 462,318,971.08/24,825.75
  6. Step 6: Final answer
    x = 18,622.56

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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.