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Finding the Fourth Proportional to 21,180.92, 31,765.79 and 10,065.49

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Solution

The fourth proportional to 21,180.92, 31,765.79 and 10,065.49 is: 15,095.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,180.92 : 31,765.79 = 10,065.49 : x
  2. Step 2: Convert to fraction form
    21,180.92/31,765.79 = 10,065.49/x
  3. Step 3: Cross multiply
    21,180.92x = 31,765.79 × 10,065.49
  4. Step 4: Simplify right side
    21,180.92x = 319,738,187.34
  5. Step 5: Solve for x
    x = 319,738,187.34/21,180.92
  6. Step 6: Final answer
    x = 15,095.58

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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.