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Finding the Fourth Proportional to 22,265.51, 30,729.24 and 12,834.14

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Solution

The fourth proportional to 22,265.51, 30,729.24 and 12,834.14 is: 17,712.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,265.51 : 30,729.24 = 12,834.14 : x
  2. Step 2: Convert to fraction form
    22,265.51/30,729.24 = 12,834.14/x
  3. Step 3: Cross multiply
    22,265.51x = 30,729.24 × 12,834.14
  4. Step 4: Simplify right side
    22,265.51x = 394,383,214.61
  5. Step 5: Solve for x
    x = 394,383,214.61/22,265.51
  6. Step 6: Final answer
    x = 17,712.75

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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.