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Finding the Fourth Proportional to 21,027.65, 31,540.23 and 7,878.92

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Solution

The fourth proportional to 21,027.65, 31,540.23 and 7,878.92 is: 11,817.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,027.65 : 31,540.23 = 7,878.92 : x
  2. Step 2: Convert to fraction form
    21,027.65/31,540.23 = 7,878.92/x
  3. Step 3: Cross multiply
    21,027.65x = 31,540.23 × 7,878.92
  4. Step 4: Simplify right side
    21,027.65x = 248,502,791.25
  5. Step 5: Solve for x
    x = 248,502,791.25/21,027.65
  6. Step 6: Final answer
    x = 11,817.91

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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.