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Finding the Fourth Proportional to 12,178.68, 18,257.04 and 4,382

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Solution

The fourth proportional to 12,178.68, 18,257.04 and 4,382 is: 6,569.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178.68 : 18,257.04 = 4,382 : x
  2. Step 2: Convert to fraction form
    12,178.68/18,257.04 = 4,382/x
  3. Step 3: Cross multiply
    12,178.68x = 18,257.04 × 4,382
  4. Step 4: Simplify right side
    12,178.68x = 80,002,349.28
  5. Step 5: Solve for x
    x = 80,002,349.28/12,178.68
  6. Step 6: Final answer
    x = 6,569.05

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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.