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Finding the Fourth Proportional to 27,294.96, 40,942.95 and 8,574.65

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Solution

The fourth proportional to 27,294.96, 40,942.95 and 8,574.65 is: 12,862.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,294.96 : 40,942.95 = 8,574.65 : x
  2. Step 2: Convert to fraction form
    27,294.96/40,942.95 = 8,574.65/x
  3. Step 3: Cross multiply
    27,294.96x = 40,942.95 × 8,574.65
  4. Step 4: Simplify right side
    27,294.96x = 351,071,229.35
  5. Step 5: Solve for x
    x = 351,071,229.35/27,294.96
  6. Step 6: Final answer
    x = 12,862.13

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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.