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Finding the Fourth Proportional to 22,297.64, 30,791.12 and 14,353.36

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Solution

The fourth proportional to 22,297.64, 30,791.12 and 14,353.36 is: 19,820.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,297.64 : 30,791.12 = 14,353.36 : x
  2. Step 2: Convert to fraction form
    22,297.64/30,791.12 = 14,353.36/x
  3. Step 3: Cross multiply
    22,297.64x = 30,791.12 × 14,353.36
  4. Step 4: Simplify right side
    22,297.64x = 441,955,881.42
  5. Step 5: Solve for x
    x = 441,955,881.42/22,297.64
  6. Step 6: Final answer
    x = 19,820.75

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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.