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Finding the Fourth Proportional to 17,414.63, 26,104.22 and 6,870.18

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Solution

The fourth proportional to 17,414.63, 26,104.22 and 6,870.18 is: 10,298.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,414.63 : 26,104.22 = 6,870.18 : x
  2. Step 2: Convert to fraction form
    17,414.63/26,104.22 = 6,870.18/x
  3. Step 3: Cross multiply
    17,414.63x = 26,104.22 × 6,870.18
  4. Step 4: Simplify right side
    17,414.63x = 179,340,664.50
  5. Step 5: Solve for x
    x = 179,340,664.50/17,414.63
  6. Step 6: Final answer
    x = 10,298.27

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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.