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Finding the Fourth Proportional to 24,083.82, 33,237 and 13,474.44

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Solution

The fourth proportional to 24,083.82, 33,237 and 13,474.44 is: 18,595.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,083.82 : 33,237 = 13,474.44 : x
  2. Step 2: Convert to fraction form
    24,083.82/33,237 = 13,474.44/x
  3. Step 3: Cross multiply
    24,083.82x = 33,237 × 13,474.44
  4. Step 4: Simplify right side
    24,083.82x = 447,849,962.28
  5. Step 5: Solve for x
    x = 447,849,962.28/24,083.82
  6. Step 6: Final answer
    x = 18,595.47

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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.