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Finding the Fourth Proportional to 12,787.57, 17,664.28 and 10,819.27

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Solution

The fourth proportional to 12,787.57, 17,664.28 and 10,819.27 is: 14,945.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,787.57 : 17,664.28 = 10,819.27 : x
  2. Step 2: Convert to fraction form
    12,787.57/17,664.28 = 10,819.27/x
  3. Step 3: Cross multiply
    12,787.57x = 17,664.28 × 10,819.27
  4. Step 4: Simplify right side
    12,787.57x = 191,114,609.71
  5. Step 5: Solve for x
    x = 191,114,609.71/12,787.57
  6. Step 6: Final answer
    x = 14,945.34

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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.