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Finding the Fourth Proportional to 22,471.10, 31,011.52 and 12,914.06

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Solution

The fourth proportional to 22,471.10, 31,011.52 and 12,914.06 is: 17,822.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,471.10 : 31,011.52 = 12,914.06 : x
  2. Step 2: Convert to fraction form
    22,471.10/31,011.52 = 12,914.06/x
  3. Step 3: Cross multiply
    22,471.10x = 31,011.52 × 12,914.06
  4. Step 4: Simplify right side
    22,471.10x = 400,484,629.97
  5. Step 5: Solve for x
    x = 400,484,629.97/22,471.10
  6. Step 6: Final answer
    x = 17,822.21

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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.