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Finding the Fourth Proportional to 21,005.96, 31,514.40 and 7,859.36

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Solution

The fourth proportional to 21,005.96, 31,514.40 and 7,859.36 is: 11,791.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,005.96 : 31,514.40 = 7,859.36 : x
  2. Step 2: Convert to fraction form
    21,005.96/31,514.40 = 7,859.36/x
  3. Step 3: Cross multiply
    21,005.96x = 31,514.40 × 7,859.36
  4. Step 4: Simplify right side
    21,005.96x = 247,683,093.57
  5. Step 5: Solve for x
    x = 247,683,093.57/21,005.96
  6. Step 6: Final answer
    x = 11,791.09

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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.