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Finding the Fourth Proportional to 24,019.80, 36,035.33 and 8,225

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Solution

The fourth proportional to 24,019.80, 36,035.33 and 8,225 is: 12,339.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,019.80 : 36,035.33 = 8,225 : x
  2. Step 2: Convert to fraction form
    24,019.80/36,035.33 = 8,225/x
  3. Step 3: Cross multiply
    24,019.80x = 36,035.33 × 8,225
  4. Step 4: Simplify right side
    24,019.80x = 296,390,589.25
  5. Step 5: Solve for x
    x = 296,390,589.25/24,019.80
  6. Step 6: Final answer
    x = 12,339.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.