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Finding the Fourth Proportional to 24,171.84, 33,354.92 and 14,101.14

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Solution

The fourth proportional to 24,171.84, 33,354.92 and 14,101.14 is: 19,458.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,171.84 : 33,354.92 = 14,101.14 : x
  2. Step 2: Convert to fraction form
    24,171.84/33,354.92 = 14,101.14/x
  3. Step 3: Cross multiply
    24,171.84x = 33,354.92 × 14,101.14
  4. Step 4: Simplify right side
    24,171.84x = 470,342,396.61
  5. Step 5: Solve for x
    x = 470,342,396.61/24,171.84
  6. Step 6: Final answer
    x = 19,458.28

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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.