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Finding the Fourth Proportional to 21,795.24, 32,689.62 and 7,941

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Solution

The fourth proportional to 21,795.24, 32,689.62 and 7,941 is: 11,910.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,795.24 : 32,689.62 = 7,941 : x
  2. Step 2: Convert to fraction form
    21,795.24/32,689.62 = 7,941/x
  3. Step 3: Cross multiply
    21,795.24x = 32,689.62 × 7,941
  4. Step 4: Simplify right side
    21,795.24x = 259,588,272.42
  5. Step 5: Solve for x
    x = 259,588,272.42/21,795.24
  6. Step 6: Final answer
    x = 11,910.32

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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.