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Finding the Fourth Proportional to 22,958.64, 31,683.96 and 17,982

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Solution

The fourth proportional to 22,958.64, 31,683.96 and 17,982 is: 24,815.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,958.64 : 31,683.96 = 17,982 : x
  2. Step 2: Convert to fraction form
    22,958.64/31,683.96 = 17,982/x
  3. Step 3: Cross multiply
    22,958.64x = 31,683.96 × 17,982
  4. Step 4: Simplify right side
    22,958.64x = 569,740,968.72
  5. Step 5: Solve for x
    x = 569,740,968.72/22,958.64
  6. Step 6: Final answer
    x = 24,815.97

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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.