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Finding the Fourth Proportional to 17,631, 26,438.40 and 6,535.08

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Solution

The fourth proportional to 17,631, 26,438.40 and 6,535.08 is: 9,799.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,631 : 26,438.40 = 6,535.08 : x
  2. Step 2: Convert to fraction form
    17,631/26,438.40 = 6,535.08/x
  3. Step 3: Cross multiply
    17,631x = 26,438.40 × 6,535.08
  4. Step 4: Simplify right side
    17,631x = 172,777,059.07
  5. Step 5: Solve for x
    x = 172,777,059.07/17,631
  6. Step 6: Final answer
    x = 9,799.62

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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.