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Finding the Fourth Proportional to 16,158.75, 24,242.24 and 8,258.21

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Solution

The fourth proportional to 16,158.75, 24,242.24 and 8,258.21 is: 12,389.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,158.75 : 24,242.24 = 8,258.21 : x
  2. Step 2: Convert to fraction form
    16,158.75/24,242.24 = 8,258.21/x
  3. Step 3: Cross multiply
    16,158.75x = 24,242.24 × 8,258.21
  4. Step 4: Simplify right side
    16,158.75x = 200,197,508.79
  5. Step 5: Solve for x
    x = 200,197,508.79/16,158.75
  6. Step 6: Final answer
    x = 12,389.42

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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.