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Finding the Fourth Proportional to 22,471.83, 31,012.55 and 12,914.78

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Solution

The fourth proportional to 22,471.83, 31,012.55 and 12,914.78 is: 17,823.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,471.83 : 31,012.55 = 12,914.78 : x
  2. Step 2: Convert to fraction form
    22,471.83/31,012.55 = 12,914.78/x
  3. Step 3: Cross multiply
    22,471.83x = 31,012.55 × 12,914.78
  4. Step 4: Simplify right side
    22,471.83x = 400,520,260.49
  5. Step 5: Solve for x
    x = 400,520,260.49/22,471.83
  6. Step 6: Final answer
    x = 17,823.22

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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.