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Finding the Fourth Proportional to 21,118.74, 31,667.46 and 7,791.06

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Solution

The fourth proportional to 21,118.74, 31,667.46 and 7,791.06 is: 11,682.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,118.74 : 31,667.46 = 7,791.06 : x
  2. Step 2: Convert to fraction form
    21,118.74/31,667.46 = 7,791.06/x
  3. Step 3: Cross multiply
    21,118.74x = 31,667.46 × 7,791.06
  4. Step 4: Simplify right side
    21,118.74x = 246,723,080.91
  5. Step 5: Solve for x
    x = 246,723,080.91/21,118.74
  6. Step 6: Final answer
    x = 11,682.66

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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.