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Finding the Fourth Proportional to 21,267.84, 31,918.62 and 11,906.12

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Solution

The fourth proportional to 21,267.84, 31,918.62 and 11,906.12 is: 17,868.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,267.84 : 31,918.62 = 11,906.12 : x
  2. Step 2: Convert to fraction form
    21,267.84/31,918.62 = 11,906.12/x
  3. Step 3: Cross multiply
    21,267.84x = 31,918.62 × 11,906.12
  4. Step 4: Simplify right side
    21,267.84x = 380,026,919.95
  5. Step 5: Solve for x
    x = 380,026,919.95/21,267.84
  6. Step 6: Final answer
    x = 17,868.62

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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.