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Finding the Fourth Proportional to 16,516.98, 24,782.42 and 10,282.21

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Solution

The fourth proportional to 16,516.98, 24,782.42 and 10,282.21 is: 15,427.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,516.98 : 24,782.42 = 10,282.21 : x
  2. Step 2: Convert to fraction form
    16,516.98/24,782.42 = 10,282.21/x
  3. Step 3: Cross multiply
    16,516.98x = 24,782.42 × 10,282.21
  4. Step 4: Simplify right side
    16,516.98x = 254,818,046.75
  5. Step 5: Solve for x
    x = 254,818,046.75/16,516.98
  6. Step 6: Final answer
    x = 15,427.64

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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.