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Finding the Fourth Proportional to 25,361.76, 38,032.56 and 9,769.44

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Solution

The fourth proportional to 25,361.76, 38,032.56 and 9,769.44 is: 14,650.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,361.76 : 38,032.56 = 9,769.44 : x
  2. Step 2: Convert to fraction form
    25,361.76/38,032.56 = 9,769.44/x
  3. Step 3: Cross multiply
    25,361.76x = 38,032.56 × 9,769.44
  4. Step 4: Simplify right side
    25,361.76x = 371,556,812.97
  5. Step 5: Solve for x
    x = 371,556,812.97/25,361.76
  6. Step 6: Final answer
    x = 14,650.28

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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.