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Finding the Fourth Proportional to 21,102.93, 31,645.16 and 10,012.78

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Solution

The fourth proportional to 21,102.93, 31,645.16 and 10,012.78 is: 15,014.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,102.93 : 31,645.16 = 10,012.78 : x
  2. Step 2: Convert to fraction form
    21,102.93/31,645.16 = 10,012.78/x
  3. Step 3: Cross multiply
    21,102.93x = 31,645.16 × 10,012.78
  4. Step 4: Simplify right side
    21,102.93x = 316,856,025.14
  5. Step 5: Solve for x
    x = 316,856,025.14/21,102.93
  6. Step 6: Final answer
    x = 15,014.79

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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.