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Finding the Fourth Proportional to 27,294.46, 40,947.47 and 8,576.40

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Solution

The fourth proportional to 27,294.46, 40,947.47 and 8,576.40 is: 12,866.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,294.46 : 40,947.47 = 8,576.40 : x
  2. Step 2: Convert to fraction form
    27,294.46/40,947.47 = 8,576.40/x
  3. Step 3: Cross multiply
    27,294.46x = 40,947.47 × 8,576.40
  4. Step 4: Simplify right side
    27,294.46x = 351,181,881.71
  5. Step 5: Solve for x
    x = 351,181,881.71/27,294.46
  6. Step 6: Final answer
    x = 12,866.42

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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.