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Finding the Fourth Proportional to 22,797.18, 31,461.70 and 12,727.60

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Solution

The fourth proportional to 22,797.18, 31,461.70 and 12,727.60 is: 17,564.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,797.18 : 31,461.70 = 12,727.60 : x
  2. Step 2: Convert to fraction form
    22,797.18/31,461.70 = 12,727.60/x
  3. Step 3: Cross multiply
    22,797.18x = 31,461.70 × 12,727.60
  4. Step 4: Simplify right side
    22,797.18x = 400,431,932.92
  5. Step 5: Solve for x
    x = 400,431,932.92/22,797.18
  6. Step 6: Final answer
    x = 17,564.98

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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.