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Finding the Fourth Proportional to 31,283.68, 43,185 and 18,706

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Solution

The fourth proportional to 31,283.68, 43,185 and 18,706 is: 25,822.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,283.68 : 43,185 = 18,706 : x
  2. Step 2: Convert to fraction form
    31,283.68/43,185 = 18,706/x
  3. Step 3: Cross multiply
    31,283.68x = 43,185 × 18,706
  4. Step 4: Simplify right side
    31,283.68x = 807,818,610
  5. Step 5: Solve for x
    x = 807,818,610/31,283.68
  6. Step 6: Final answer
    x = 25,822.37

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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.