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Finding the Fourth Proportional to 25,692, 38,544.17 and 8,824.75

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Solution

The fourth proportional to 25,692, 38,544.17 and 8,824.75 is: 13,239.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,692 : 38,544.17 = 8,824.75 : x
  2. Step 2: Convert to fraction form
    25,692/38,544.17 = 8,824.75/x
  3. Step 3: Cross multiply
    25,692x = 38,544.17 × 8,824.75
  4. Step 4: Simplify right side
    25,692x = 340,142,664.21
  5. Step 5: Solve for x
    x = 340,142,664.21/25,692
  6. Step 6: Final answer
    x = 13,239.24

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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.