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Finding the Fourth Proportional to 14,711.76, 20,302.92 and 8,665.38

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Solution

The fourth proportional to 14,711.76, 20,302.92 and 8,665.38 is: 11,958.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,711.76 : 20,302.92 = 8,665.38 : x
  2. Step 2: Convert to fraction form
    14,711.76/20,302.92 = 8,665.38/x
  3. Step 3: Cross multiply
    14,711.76x = 20,302.92 × 8,665.38
  4. Step 4: Simplify right side
    14,711.76x = 175,932,516.91
  5. Step 5: Solve for x
    x = 175,932,516.91/14,711.76
  6. Step 6: Final answer
    x = 11,958.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.