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Finding the Fourth Proportional to 27,295.28, 40,943.42 and 8,574.96

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Solution

The fourth proportional to 27,295.28, 40,943.42 and 8,574.96 is: 12,862.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,295.28 : 40,943.42 = 8,574.96 : x
  2. Step 2: Convert to fraction form
    27,295.28/40,943.42 = 8,574.96/x
  3. Step 3: Cross multiply
    27,295.28x = 40,943.42 × 8,574.96
  4. Step 4: Simplify right side
    27,295.28x = 351,088,145.89
  5. Step 5: Solve for x
    x = 351,088,145.89/27,295.28
  6. Step 6: Final answer
    x = 12,862.60

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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.