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Finding the Fourth Proportional to 24,549.16, 33,878.22 and 13,371.16

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Solution

The fourth proportional to 24,549.16, 33,878.22 and 13,371.16 is: 18,452.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,549.16 : 33,878.22 = 13,371.16 : x
  2. Step 2: Convert to fraction form
    24,549.16/33,878.22 = 13,371.16/x
  3. Step 3: Cross multiply
    24,549.16x = 33,878.22 × 13,371.16
  4. Step 4: Simplify right side
    24,549.16x = 452,991,100.14
  5. Step 5: Solve for x
    x = 452,991,100.14/24,549.16
  6. Step 6: Final answer
    x = 18,452.41

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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.