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Finding the Fourth Proportional to 25,400.40, 38,096.16 and 9,805.20

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Solution

The fourth proportional to 25,400.40, 38,096.16 and 9,805.20 is: 14,706.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,400.40 : 38,096.16 = 9,805.20 : x
  2. Step 2: Convert to fraction form
    25,400.40/38,096.16 = 9,805.20/x
  3. Step 3: Cross multiply
    25,400.40x = 38,096.16 × 9,805.20
  4. Step 4: Simplify right side
    25,400.40x = 373,540,468.03
  5. Step 5: Solve for x
    x = 373,540,468.03/25,400.40
  6. Step 6: Final answer
    x = 14,706.09

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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.