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Finding the Fourth Proportional to 31,683.78, 43,712.94 and 18,254.70

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Solution

The fourth proportional to 31,683.78, 43,712.94 and 18,254.70 is: 25,185.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,683.78 : 43,712.94 = 18,254.70 : x
  2. Step 2: Convert to fraction form
    31,683.78/43,712.94 = 18,254.70/x
  3. Step 3: Cross multiply
    31,683.78x = 43,712.94 × 18,254.70
  4. Step 4: Simplify right side
    31,683.78x = 797,966,605.82
  5. Step 5: Solve for x
    x = 797,966,605.82/31,683.78
  6. Step 6: Final answer
    x = 25,185.33

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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.