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Finding the Fourth Proportional to 24,133.16, 33,299.78 and 13,523.24

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Solution

The fourth proportional to 24,133.16, 33,299.78 and 13,523.24 is: 18,659.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,133.16 : 33,299.78 = 13,523.24 : x
  2. Step 2: Convert to fraction form
    24,133.16/33,299.78 = 13,523.24/x
  3. Step 3: Cross multiply
    24,133.16x = 33,299.78 × 13,523.24
  4. Step 4: Simplify right side
    24,133.16x = 450,320,916.89
  5. Step 5: Solve for x
    x = 450,320,916.89/24,133.16
  6. Step 6: Final answer
    x = 18,659.84

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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.