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Finding the Fourth Proportional to 21,261.81, 31,900.92 and 8,111.10

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Solution

The fourth proportional to 21,261.81, 31,900.92 and 8,111.10 is: 12,169.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,261.81 : 31,900.92 = 8,111.10 : x
  2. Step 2: Convert to fraction form
    21,261.81/31,900.92 = 8,111.10/x
  3. Step 3: Cross multiply
    21,261.81x = 31,900.92 × 8,111.10
  4. Step 4: Simplify right side
    21,261.81x = 258,751,552.21
  5. Step 5: Solve for x
    x = 258,751,552.21/21,261.81
  6. Step 6: Final answer
    x = 12,169.78

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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.