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Finding the Fourth Proportional to 14,974.47, 20,665.28 and 8,260.30

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Solution

The fourth proportional to 14,974.47, 20,665.28 and 8,260.30 is: 11,399.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,974.47 : 20,665.28 = 8,260.30 : x
  2. Step 2: Convert to fraction form
    14,974.47/20,665.28 = 8,260.30/x
  3. Step 3: Cross multiply
    14,974.47x = 20,665.28 × 8,260.30
  4. Step 4: Simplify right side
    14,974.47x = 170,701,412.38
  5. Step 5: Solve for x
    x = 170,701,412.38/14,974.47
  6. Step 6: Final answer
    x = 11,399.50

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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.