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Finding the Fourth Proportional to 21,262.36, 31,872.85 and 10,166.17

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Solution

The fourth proportional to 21,262.36, 31,872.85 and 10,166.17 is: 15,239.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,262.36 : 31,872.85 = 10,166.17 : x
  2. Step 2: Convert to fraction form
    21,262.36/31,872.85 = 10,166.17/x
  3. Step 3: Cross multiply
    21,262.36x = 31,872.85 × 10,166.17
  4. Step 4: Simplify right side
    21,262.36x = 324,024,811.48
  5. Step 5: Solve for x
    x = 324,024,811.48/21,262.36
  6. Step 6: Final answer
    x = 15,239.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.