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Finding the Fourth Proportional to 24,824.54, 34,258.01 and 13,494.12

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Solution

The fourth proportional to 24,824.54, 34,258.01 and 13,494.12 is: 18,621.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,824.54 : 34,258.01 = 13,494.12 : x
  2. Step 2: Convert to fraction form
    24,824.54/34,258.01 = 13,494.12/x
  3. Step 3: Cross multiply
    24,824.54x = 34,258.01 × 13,494.12
  4. Step 4: Simplify right side
    24,824.54x = 462,281,630.43
  5. Step 5: Solve for x
    x = 462,281,630.43/24,824.54
  6. Step 6: Final answer
    x = 18,621.97

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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.