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Finding the Fourth Proportional to 27,229.65, 40,787.06 and 12,451

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Solution

The fourth proportional to 27,229.65, 40,787.06 and 12,451 is: 18,650.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,229.65 : 40,787.06 = 12,451 : x
  2. Step 2: Convert to fraction form
    27,229.65/40,787.06 = 12,451/x
  3. Step 3: Cross multiply
    27,229.65x = 40,787.06 × 12,451
  4. Step 4: Simplify right side
    27,229.65x = 507,839,684.06
  5. Step 5: Solve for x
    x = 507,839,684.06/27,229.65
  6. Step 6: Final answer
    x = 18,650.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.