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Finding the Fourth Proportional to 22,471.56, 31,012.20 and 12,914.55

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Solution

The fourth proportional to 22,471.56, 31,012.20 and 12,914.55 is: 17,822.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,471.56 : 31,012.20 = 12,914.55 : x
  2. Step 2: Convert to fraction form
    22,471.56/31,012.20 = 12,914.55/x
  3. Step 3: Cross multiply
    22,471.56x = 31,012.20 × 12,914.55
  4. Step 4: Simplify right side
    22,471.56x = 400,508,607.51
  5. Step 5: Solve for x
    x = 400,508,607.51/22,471.56
  6. Step 6: Final answer
    x = 17,822.91

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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.