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Finding the Fourth Proportional to 17,414.60, 26,111.10 and 10,015.40

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Solution

The fourth proportional to 17,414.60, 26,111.10 and 10,015.40 is: 15,016.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,414.60 : 26,111.10 = 10,015.40 : x
  2. Step 2: Convert to fraction form
    17,414.60/26,111.10 = 10,015.40/x
  3. Step 3: Cross multiply
    17,414.60x = 26,111.10 × 10,015.40
  4. Step 4: Simplify right side
    17,414.60x = 261,513,110.94
  5. Step 5: Solve for x
    x = 261,513,110.94/17,414.60
  6. Step 6: Final answer
    x = 15,016.89

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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.