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Finding the Fourth Proportional to 15,693, 21,658.26 and 9,069

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Solution

The fourth proportional to 15,693, 21,658.26 and 9,069 is: 12,516.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,693 : 21,658.26 = 9,069 : x
  2. Step 2: Convert to fraction form
    15,693/21,658.26 = 9,069/x
  3. Step 3: Cross multiply
    15,693x = 21,658.26 × 9,069
  4. Step 4: Simplify right side
    15,693x = 196,418,759.94
  5. Step 5: Solve for x
    x = 196,418,759.94/15,693
  6. Step 6: Final answer
    x = 12,516.33

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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.