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Finding the Fourth Proportional to 21,523.80, 32,294.82 and 11,669.88

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Solution

The fourth proportional to 21,523.80, 32,294.82 and 11,669.88 is: 17,509.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,523.80 : 32,294.82 = 11,669.88 : x
  2. Step 2: Convert to fraction form
    21,523.80/32,294.82 = 11,669.88/x
  3. Step 3: Cross multiply
    21,523.80x = 32,294.82 × 11,669.88
  4. Step 4: Simplify right side
    21,523.80x = 376,876,674.02
  5. Step 5: Solve for x
    x = 376,876,674.02/21,523.80
  6. Step 6: Final answer
    x = 17,509.76

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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.