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Finding the Fourth Proportional to 25,771.84, 38,656.32 and 9,131.20

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Solution

The fourth proportional to 25,771.84, 38,656.32 and 9,131.20 is: 13,696.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,771.84 : 38,656.32 = 9,131.20 : x
  2. Step 2: Convert to fraction form
    25,771.84/38,656.32 = 9,131.20/x
  3. Step 3: Cross multiply
    25,771.84x = 38,656.32 × 9,131.20
  4. Step 4: Simplify right side
    25,771.84x = 352,978,589.18
  5. Step 5: Solve for x
    x = 352,978,589.18/25,771.84
  6. Step 6: Final answer
    x = 13,696.29

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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.