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Finding the Fourth Proportional to 22,181.64, 33,241.94 and 9,712.10

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Solution

The fourth proportional to 22,181.64, 33,241.94 and 9,712.10 is: 14,554.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,181.64 : 33,241.94 = 9,712.10 : x
  2. Step 2: Convert to fraction form
    22,181.64/33,241.94 = 9,712.10/x
  3. Step 3: Cross multiply
    22,181.64x = 33,241.94 × 9,712.10
  4. Step 4: Simplify right side
    22,181.64x = 322,848,830.70
  5. Step 5: Solve for x
    x = 322,848,830.70/22,181.64
  6. Step 6: Final answer
    x = 14,554.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.