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Finding the Fourth Proportional to 24,019.30, 36,034.58 and 8,224.50

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Solution

The fourth proportional to 24,019.30, 36,034.58 and 8,224.50 is: 12,338.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,019.30 : 36,034.58 = 8,224.50 : x
  2. Step 2: Convert to fraction form
    24,019.30/36,034.58 = 8,224.50/x
  3. Step 3: Cross multiply
    24,019.30x = 36,034.58 × 8,224.50
  4. Step 4: Simplify right side
    24,019.30x = 296,366,403.21
  5. Step 5: Solve for x
    x = 296,366,403.21/24,019.30
  6. Step 6: Final answer
    x = 12,338.68

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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.