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Finding the Fourth Proportional to 25,442.64, 35,087.87 and 15,883.41

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Solution

The fourth proportional to 25,442.64, 35,087.87 and 15,883.41 is: 21,904.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,442.64 : 35,087.87 = 15,883.41 : x
  2. Step 2: Convert to fraction form
    25,442.64/35,087.87 = 15,883.41/x
  3. Step 3: Cross multiply
    25,442.64x = 35,087.87 × 15,883.41
  4. Step 4: Simplify right side
    25,442.64x = 557,314,770.38
  5. Step 5: Solve for x
    x = 557,314,770.38/25,442.64
  6. Step 6: Final answer
    x = 21,904.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.