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Finding the Fourth Proportional to 16,258.05, 24,400.96 and 11,589.48

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Solution

The fourth proportional to 16,258.05, 24,400.96 and 11,589.48 is: 17,394.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,258.05 : 24,400.96 = 11,589.48 : x
  2. Step 2: Convert to fraction form
    16,258.05/24,400.96 = 11,589.48/x
  3. Step 3: Cross multiply
    16,258.05x = 24,400.96 × 11,589.48
  4. Step 4: Simplify right side
    16,258.05x = 282,794,474.12
  5. Step 5: Solve for x
    x = 282,794,474.12/16,258.05
  6. Step 6: Final answer
    x = 17,394.12

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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.