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Finding the Fourth Proportional to 24,020.82, 36,031.23 and 8,434.80

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Solution

The fourth proportional to 24,020.82, 36,031.23 and 8,434.80 is: 12,652.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,020.82 : 36,031.23 = 8,434.80 : x
  2. Step 2: Convert to fraction form
    24,020.82/36,031.23 = 8,434.80/x
  3. Step 3: Cross multiply
    24,020.82x = 36,031.23 × 8,434.80
  4. Step 4: Simplify right side
    24,020.82x = 303,916,218.80
  5. Step 5: Solve for x
    x = 303,916,218.80/24,020.82
  6. Step 6: Final answer
    x = 12,652.20

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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.