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Finding the Fourth Proportional to 25,906.40, 38,859.60 and 9,274.40

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Solution

The fourth proportional to 25,906.40, 38,859.60 and 9,274.40 is: 13,911.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,906.40 : 38,859.60 = 9,274.40 : x
  2. Step 2: Convert to fraction form
    25,906.40/38,859.60 = 9,274.40/x
  3. Step 3: Cross multiply
    25,906.40x = 38,859.60 × 9,274.40
  4. Step 4: Simplify right side
    25,906.40x = 360,399,474.24
  5. Step 5: Solve for x
    x = 360,399,474.24/25,906.40
  6. Step 6: Final answer
    x = 13,911.60

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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.