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Finding the Fourth Proportional to 24,114.29, 33,274.72 and 13,502.21

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Solution

The fourth proportional to 24,114.29, 33,274.72 and 13,502.21 is: 18,631.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,114.29 : 33,274.72 = 13,502.21 : x
  2. Step 2: Convert to fraction form
    24,114.29/33,274.72 = 13,502.21/x
  3. Step 3: Cross multiply
    24,114.29x = 33,274.72 × 13,502.21
  4. Step 4: Simplify right side
    24,114.29x = 449,282,257.13
  5. Step 5: Solve for x
    x = 449,282,257.13/24,114.29
  6. Step 6: Final answer
    x = 18,631.37

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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.