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Finding the Fourth Proportional to 21,005.66, 31,504.81 and 7,855.31

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Solution

The fourth proportional to 21,005.66, 31,504.81 and 7,855.31 is: 11,781.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,005.66 : 31,504.81 = 7,855.31 : x
  2. Step 2: Convert to fraction form
    21,005.66/31,504.81 = 7,855.31/x
  3. Step 3: Cross multiply
    21,005.66x = 31,504.81 × 7,855.31
  4. Step 4: Simplify right side
    21,005.66x = 247,480,049.04
  5. Step 5: Solve for x
    x = 247,480,049.04/21,005.66
  6. Step 6: Final answer
    x = 11,781.59

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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.