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Finding the Fourth Proportional to 21,908.26, 32,842.66 and 7,864.98

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Solution

The fourth proportional to 21,908.26, 32,842.66 and 7,864.98 is: 11,790.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,908.26 : 32,842.66 = 7,864.98 : x
  2. Step 2: Convert to fraction form
    21,908.26/32,842.66 = 7,864.98/x
  3. Step 3: Cross multiply
    21,908.26x = 32,842.66 × 7,864.98
  4. Step 4: Simplify right side
    21,908.26x = 258,306,864.05
  5. Step 5: Solve for x
    x = 258,306,864.05/21,908.26
  6. Step 6: Final answer
    x = 11,790.39

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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.