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Finding the Fourth Proportional to 25,735.96, 38,516.28 and 21,580.66

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Solution

The fourth proportional to 25,735.96, 38,516.28 and 21,580.66 is: 32,297.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,735.96 : 38,516.28 = 21,580.66 : x
  2. Step 2: Convert to fraction form
    25,735.96/38,516.28 = 21,580.66/x
  3. Step 3: Cross multiply
    25,735.96x = 38,516.28 × 21,580.66
  4. Step 4: Simplify right side
    25,735.96x = 831,206,743.14
  5. Step 5: Solve for x
    x = 831,206,743.14/25,735.96
  6. Step 6: Final answer
    x = 32,297.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.