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Finding the Fourth Proportional to 15,696, 21,665.34 and 10,107

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Solution

The fourth proportional to 15,696, 21,665.34 and 10,107 is: 13,950.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,696 : 21,665.34 = 10,107 : x
  2. Step 2: Convert to fraction form
    15,696/21,665.34 = 10,107/x
  3. Step 3: Cross multiply
    15,696x = 21,665.34 × 10,107
  4. Step 4: Simplify right side
    15,696x = 218,971,591.38
  5. Step 5: Solve for x
    x = 218,971,591.38/15,696
  6. Step 6: Final answer
    x = 13,950.79

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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.