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Finding the Fourth Proportional to 17,433, 26,155.97 and 6,340.56

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Solution

The fourth proportional to 17,433, 26,155.97 and 6,340.56 is: 9,513.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,433 : 26,155.97 = 6,340.56 : x
  2. Step 2: Convert to fraction form
    17,433/26,155.97 = 6,340.56/x
  3. Step 3: Cross multiply
    17,433x = 26,155.97 × 6,340.56
  4. Step 4: Simplify right side
    17,433x = 165,843,465.44
  5. Step 5: Solve for x
    x = 165,843,465.44/17,433
  6. Step 6: Final answer
    x = 9,513.19

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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.