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Finding the Fourth Proportional to 16,027.92, 22,114.44 and 9,740.40

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Solution

The fourth proportional to 16,027.92, 22,114.44 and 9,740.40 is: 13,439.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,027.92 : 22,114.44 = 9,740.40 : x
  2. Step 2: Convert to fraction form
    16,027.92/22,114.44 = 9,740.40/x
  3. Step 3: Cross multiply
    16,027.92x = 22,114.44 × 9,740.40
  4. Step 4: Simplify right side
    16,027.92x = 215,403,491.38
  5. Step 5: Solve for x
    x = 215,403,491.38/16,027.92
  6. Step 6: Final answer
    x = 13,439.27

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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.