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Finding the Fourth Proportional to 21,264.62, 29,351.61 and 12,314.31

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Solution

The fourth proportional to 21,264.62, 29,351.61 and 12,314.31 is: 16,997.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,264.62 : 29,351.61 = 12,314.31 : x
  2. Step 2: Convert to fraction form
    21,264.62/29,351.61 = 12,314.31/x
  3. Step 3: Cross multiply
    21,264.62x = 29,351.61 × 12,314.31
  4. Step 4: Simplify right side
    21,264.62x = 361,444,824.54
  5. Step 5: Solve for x
    x = 361,444,824.54/21,264.62
  6. Step 6: Final answer
    x = 16,997.48

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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.