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Finding the Fourth Proportional to 12,178.57, 18,255.29 and 4,680.10

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Solution

The fourth proportional to 12,178.57, 18,255.29 and 4,680.10 is: 7,015.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.57 : 18,255.29 = 4,680.10 : x
  2. Step 2: Convert to fraction form
    12,178.57/18,255.29 = 4,680.10/x
  3. Step 3: Cross multiply
    12,178.57x = 18,255.29 × 4,680.10
  4. Step 4: Simplify right side
    12,178.57x = 85,436,582.73
  5. Step 5: Solve for x
    x = 85,436,582.73/12,178.57
  6. Step 6: Final answer
    x = 7,015.32

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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.