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Finding the Fourth Proportional to 22,753.46, 31,399.64 and 12,682.34

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Solution

The fourth proportional to 22,753.46, 31,399.64 and 12,682.34 is: 17,501.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,753.46 : 31,399.64 = 12,682.34 : x
  2. Step 2: Convert to fraction form
    22,753.46/31,399.64 = 12,682.34/x
  3. Step 3: Cross multiply
    22,753.46x = 31,399.64 × 12,682.34
  4. Step 4: Simplify right side
    22,753.46x = 398,220,910.36
  5. Step 5: Solve for x
    x = 398,220,910.36/22,753.46
  6. Step 6: Final answer
    x = 17,501.55

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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.