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Finding the Fourth Proportional to 14,711.73, 20,302.17 and 7,997.34

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Solution

The fourth proportional to 14,711.73, 20,302.17 and 7,997.34 is: 11,036.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,711.73 : 20,302.17 = 7,997.34 : x
  2. Step 2: Convert to fraction form
    14,711.73/20,302.17 = 7,997.34/x
  3. Step 3: Cross multiply
    14,711.73x = 20,302.17 × 7,997.34
  4. Step 4: Simplify right side
    14,711.73x = 162,363,356.23
  5. Step 5: Solve for x
    x = 162,363,356.23/14,711.73
  6. Step 6: Final answer
    x = 11,036.32

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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.