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Finding the Fourth Proportional to 21,965.22, 30,314.17 and 12,535.20

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Solution

The fourth proportional to 21,965.22, 30,314.17 and 12,535.20 is: 17,299.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,965.22 : 30,314.17 = 12,535.20 : x
  2. Step 2: Convert to fraction form
    21,965.22/30,314.17 = 12,535.20/x
  3. Step 3: Cross multiply
    21,965.22x = 30,314.17 × 12,535.20
  4. Step 4: Simplify right side
    21,965.22x = 379,994,032.21
  5. Step 5: Solve for x
    x = 379,994,032.21/21,965.22
  6. Step 6: Final answer
    x = 17,299.81

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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.