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Finding the Fourth Proportional to 12,176.87, 18,251.45 and 5,152.49

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Solution

The fourth proportional to 12,176.87, 18,251.45 and 5,152.49 is: 7,722.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.87 : 18,251.45 = 5,152.49 : x
  2. Step 2: Convert to fraction form
    12,176.87/18,251.45 = 5,152.49/x
  3. Step 3: Cross multiply
    12,176.87x = 18,251.45 × 5,152.49
  4. Step 4: Simplify right side
    12,176.87x = 94,040,384.36
  5. Step 5: Solve for x
    x = 94,040,384.36/12,176.87
  6. Step 6: Final answer
    x = 7,722.87

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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.