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Finding the Fourth Proportional to 24,800.10, 34,224.39 and 13,469.82

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Solution

The fourth proportional to 24,800.10, 34,224.39 and 13,469.82 is: 18,588.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,800.10 : 34,224.39 = 13,469.82 : x
  2. Step 2: Convert to fraction form
    24,800.10/34,224.39 = 13,469.82/x
  3. Step 3: Cross multiply
    24,800.10x = 34,224.39 × 13,469.82
  4. Step 4: Simplify right side
    24,800.10x = 460,996,372.91
  5. Step 5: Solve for x
    x = 460,996,372.91/24,800.10
  6. Step 6: Final answer
    x = 18,588.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.