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Finding the Fourth Proportional to 24,414.30, 36,624.33 and 7,768.50

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Solution

The fourth proportional to 24,414.30, 36,624.33 and 7,768.50 is: 11,653.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,414.30 : 36,624.33 = 7,768.50 : x
  2. Step 2: Convert to fraction form
    24,414.30/36,624.33 = 7,768.50/x
  3. Step 3: Cross multiply
    24,414.30x = 36,624.33 × 7,768.50
  4. Step 4: Simplify right side
    24,414.30x = 284,516,107.61
  5. Step 5: Solve for x
    x = 284,516,107.61/24,414.30
  6. Step 6: Final answer
    x = 11,653.67

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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.