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Finding the Fourth Proportional to 22,807.22, 31,474.12 and 12,735.78

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Solution

The fourth proportional to 22,807.22, 31,474.12 and 12,735.78 is: 17,575.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,807.22 : 31,474.12 = 12,735.78 : x
  2. Step 2: Convert to fraction form
    22,807.22/31,474.12 = 12,735.78/x
  3. Step 3: Cross multiply
    22,807.22x = 31,474.12 × 12,735.78
  4. Step 4: Simplify right side
    22,807.22x = 400,847,519.07
  5. Step 5: Solve for x
    x = 400,847,519.07/22,807.22
  6. Step 6: Final answer
    x = 17,575.47

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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.