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Finding the Fourth Proportional to 18,414.21, 25,414.35 and 10,858.14

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Solution

The fourth proportional to 18,414.21, 25,414.35 and 10,858.14 is: 14,985.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,414.21 : 25,414.35 = 10,858.14 : x
  2. Step 2: Convert to fraction form
    18,414.21/25,414.35 = 10,858.14/x
  3. Step 3: Cross multiply
    18,414.21x = 25,414.35 × 10,858.14
  4. Step 4: Simplify right side
    18,414.21x = 275,952,570.31
  5. Step 5: Solve for x
    x = 275,952,570.31/18,414.21
  6. Step 6: Final answer
    x = 14,985.85

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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.