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Finding the Fourth Proportional to 24,549.50, 33,878.31 and 13,371.50

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Solution

The fourth proportional to 24,549.50, 33,878.31 and 13,371.50 is: 18,452.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,549.50 : 33,878.31 = 13,371.50 : x
  2. Step 2: Convert to fraction form
    24,549.50/33,878.31 = 13,371.50/x
  3. Step 3: Cross multiply
    24,549.50x = 33,878.31 × 13,371.50
  4. Step 4: Simplify right side
    24,549.50x = 453,003,822.17
  5. Step 5: Solve for x
    x = 453,003,822.17/24,549.50
  6. Step 6: Final answer
    x = 18,452.67

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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.