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Finding the Fourth Proportional to 21,704.93, 32,561.45 and 9,859.53

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Solution

The fourth proportional to 21,704.93, 32,561.45 and 9,859.53 is: 14,791.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,704.93 : 32,561.45 = 9,859.53 : x
  2. Step 2: Convert to fraction form
    21,704.93/32,561.45 = 9,859.53/x
  3. Step 3: Cross multiply
    21,704.93x = 32,561.45 × 9,859.53
  4. Step 4: Simplify right side
    21,704.93x = 321,040,593.12
  5. Step 5: Solve for x
    x = 321,040,593.12/21,704.93
  6. Step 6: Final answer
    x = 14,791.14

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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.