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Finding the Fourth Proportional to 22,713.20, 31,344.20 and 12,777.20

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Solution

The fourth proportional to 22,713.20, 31,344.20 and 12,777.20 is: 17,632.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,713.20 : 31,344.20 = 12,777.20 : x
  2. Step 2: Convert to fraction form
    22,713.20/31,344.20 = 12,777.20/x
  3. Step 3: Cross multiply
    22,713.20x = 31,344.20 × 12,777.20
  4. Step 4: Simplify right side
    22,713.20x = 400,490,891.63
  5. Step 5: Solve for x
    x = 400,490,891.63/22,713.20
  6. Step 6: Final answer
    x = 17,632.52

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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.