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Finding the Fourth Proportional to 16,222.82, 24,287.09 and 14,534.55

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Solution

The fourth proportional to 16,222.82, 24,287.09 and 14,534.55 is: 21,759.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,222.82 : 24,287.09 = 14,534.55 : x
  2. Step 2: Convert to fraction form
    16,222.82/24,287.09 = 14,534.55/x
  3. Step 3: Cross multiply
    16,222.82x = 24,287.09 × 14,534.55
  4. Step 4: Simplify right side
    16,222.82x = 353,001,851.29
  5. Step 5: Solve for x
    x = 353,001,851.29/16,222.82
  6. Step 6: Final answer
    x = 21,759.59

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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.