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Finding the Fourth Proportional to 25,493.92, 38,232.24 and 9,695.20

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Solution

The fourth proportional to 25,493.92, 38,232.24 and 9,695.20 is: 14,539.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,493.92 : 38,232.24 = 9,695.20 : x
  2. Step 2: Convert to fraction form
    25,493.92/38,232.24 = 9,695.20/x
  3. Step 3: Cross multiply
    25,493.92x = 38,232.24 × 9,695.20
  4. Step 4: Simplify right side
    25,493.92x = 370,669,213.25
  5. Step 5: Solve for x
    x = 370,669,213.25/25,493.92
  6. Step 6: Final answer
    x = 14,539.51

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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.