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Finding the Fourth Proportional to 24,059.82, 33,196.95 and 13,982.34

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Solution

The fourth proportional to 24,059.82, 33,196.95 and 13,982.34 is: 19,292.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,059.82 : 33,196.95 = 13,982.34 : x
  2. Step 2: Convert to fraction form
    24,059.82/33,196.95 = 13,982.34/x
  3. Step 3: Cross multiply
    24,059.82x = 33,196.95 × 13,982.34
  4. Step 4: Simplify right side
    24,059.82x = 464,171,041.86
  5. Step 5: Solve for x
    x = 464,171,041.86/24,059.82
  6. Step 6: Final answer
    x = 19,292.37

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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.