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Finding the Fourth Proportional to 21,819.90, 30,107.82 and 12,866.16

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Solution

The fourth proportional to 21,819.90, 30,107.82 and 12,866.16 is: 17,753.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,819.90 : 30,107.82 = 12,866.16 : x
  2. Step 2: Convert to fraction form
    21,819.90/30,107.82 = 12,866.16/x
  3. Step 3: Cross multiply
    21,819.90x = 30,107.82 × 12,866.16
  4. Step 4: Simplify right side
    21,819.90x = 387,372,029.37
  5. Step 5: Solve for x
    x = 387,372,029.37/21,819.90
  6. Step 6: Final answer
    x = 17,753.15

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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.