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Finding the Fourth Proportional to 24,214.72, 36,324.16 and 6,684.54

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Solution

The fourth proportional to 24,214.72, 36,324.16 and 6,684.54 is: 10,027.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,214.72 : 36,324.16 = 6,684.54 : x
  2. Step 2: Convert to fraction form
    24,214.72/36,324.16 = 6,684.54/x
  3. Step 3: Cross multiply
    24,214.72x = 36,324.16 × 6,684.54
  4. Step 4: Simplify right side
    24,214.72x = 242,810,300.49
  5. Step 5: Solve for x
    x = 242,810,300.49/24,214.72
  6. Step 6: Final answer
    x = 10,027.38

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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.