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Finding the Fourth Proportional to 22,265.20, 30,716.40 and 12,828.16

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Solution

The fourth proportional to 22,265.20, 30,716.40 and 12,828.16 is: 17,697.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,265.20 : 30,716.40 = 12,828.16 : x
  2. Step 2: Convert to fraction form
    22,265.20/30,716.40 = 12,828.16/x
  3. Step 3: Cross multiply
    22,265.20x = 30,716.40 × 12,828.16
  4. Step 4: Simplify right side
    22,265.20x = 394,034,893.82
  5. Step 5: Solve for x
    x = 394,034,893.82/22,265.20
  6. Step 6: Final answer
    x = 17,697.34

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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.