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Finding the Fourth Proportional to 25,883.60, 38,825.40 and 11,843.60

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Solution

The fourth proportional to 25,883.60, 38,825.40 and 11,843.60 is: 17,765.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,883.60 : 38,825.40 = 11,843.60 : x
  2. Step 2: Convert to fraction form
    25,883.60/38,825.40 = 11,843.60/x
  3. Step 3: Cross multiply
    25,883.60x = 38,825.40 × 11,843.60
  4. Step 4: Simplify right side
    25,883.60x = 459,832,507.44
  5. Step 5: Solve for x
    x = 459,832,507.44/25,883.60
  6. Step 6: Final answer
    x = 17,765.40

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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.