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Finding the Fourth Proportional to 14,796.09, 20,424.38 and 10,013.69

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Solution

The fourth proportional to 14,796.09, 20,424.38 and 10,013.69 is: 13,822.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,796.09 : 20,424.38 = 10,013.69 : x
  2. Step 2: Convert to fraction form
    14,796.09/20,424.38 = 10,013.69/x
  3. Step 3: Cross multiply
    14,796.09x = 20,424.38 × 10,013.69
  4. Step 4: Simplify right side
    14,796.09x = 204,523,410.75
  5. Step 5: Solve for x
    x = 204,523,410.75/14,796.09
  6. Step 6: Final answer
    x = 13,822.80

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Why These Related Problems?

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