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Finding the Fourth Proportional to 16,513.30, 24,782.03 and 10,282.42

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Solution

The fourth proportional to 16,513.30, 24,782.03 and 10,282.42 is: 15,431.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,513.30 : 24,782.03 = 10,282.42 : x
  2. Step 2: Convert to fraction form
    16,513.30/24,782.03 = 10,282.42/x
  3. Step 3: Cross multiply
    16,513.30x = 24,782.03 × 10,282.42
  4. Step 4: Simplify right side
    16,513.30x = 254,819,240.91
  5. Step 5: Solve for x
    x = 254,819,240.91/16,513.30
  6. Step 6: Final answer
    x = 15,431.15

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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.