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Finding the Fourth Proportional to 17,709.87, 24,439.87 and 9,643.82

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Solution

The fourth proportional to 17,709.87, 24,439.87 and 9,643.82 is: 13,308.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,709.87 : 24,439.87 = 9,643.82 : x
  2. Step 2: Convert to fraction form
    17,709.87/24,439.87 = 9,643.82/x
  3. Step 3: Cross multiply
    17,709.87x = 24,439.87 × 9,643.82
  4. Step 4: Simplify right side
    17,709.87x = 235,693,707.10
  5. Step 5: Solve for x
    x = 235,693,707.10/17,709.87
  6. Step 6: Final answer
    x = 13,308.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.