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Finding the Fourth Proportional to 24,012.81, 33,137.64 and 13,402.44

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Solution

The fourth proportional to 24,012.81, 33,137.64 and 13,402.44 is: 18,495.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,012.81 : 33,137.64 = 13,402.44 : x
  2. Step 2: Convert to fraction form
    24,012.81/33,137.64 = 13,402.44/x
  3. Step 3: Cross multiply
    24,012.81x = 33,137.64 × 13,402.44
  4. Step 4: Simplify right side
    24,012.81x = 444,125,231.84
  5. Step 5: Solve for x
    x = 444,125,231.84/24,012.81
  6. Step 6: Final answer
    x = 18,495.35

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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.