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Finding the Fourth Proportional to 17,643.76, 26,465.71 and 5,965.18

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Solution

The fourth proportional to 17,643.76, 26,465.71 and 5,965.18 is: 8,947.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,643.76 : 26,465.71 = 5,965.18 : x
  2. Step 2: Convert to fraction form
    17,643.76/26,465.71 = 5,965.18/x
  3. Step 3: Cross multiply
    17,643.76x = 26,465.71 × 5,965.18
  4. Step 4: Simplify right side
    17,643.76x = 157,872,723.98
  5. Step 5: Solve for x
    x = 157,872,723.98/17,643.76
  6. Step 6: Final answer
    x = 8,947.79

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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.