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Finding the Fourth Proportional to 24,214.70, 36,324.13 and 6,684.53

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Solution

The fourth proportional to 24,214.70, 36,324.13 and 6,684.53 is: 10,027.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,214.70 : 36,324.13 = 6,684.53 : x
  2. Step 2: Convert to fraction form
    24,214.70/36,324.13 = 6,684.53/x
  3. Step 3: Cross multiply
    24,214.70x = 36,324.13 × 6,684.53
  4. Step 4: Simplify right side
    24,214.70x = 242,809,538.38
  5. Step 5: Solve for x
    x = 242,809,538.38/24,214.70
  6. Step 6: Final answer
    x = 10,027.36

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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.