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Finding the Fourth Proportional to 17,917.14, 26,871.10 and 7,390.16

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Solution

The fourth proportional to 17,917.14, 26,871.10 and 7,390.16 is: 11,083.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,917.14 : 26,871.10 = 7,390.16 : x
  2. Step 2: Convert to fraction form
    17,917.14/26,871.10 = 7,390.16/x
  3. Step 3: Cross multiply
    17,917.14x = 26,871.10 × 7,390.16
  4. Step 4: Simplify right side
    17,917.14x = 198,581,728.38
  5. Step 5: Solve for x
    x = 198,581,728.38/17,917.14
  6. Step 6: Final answer
    x = 11,083.34

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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.