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Finding the Fourth Proportional to 18,101.14, 24,978.21 and 10,141.82

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Solution

The fourth proportional to 18,101.14, 24,978.21 and 10,141.82 is: 13,994.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,101.14 : 24,978.21 = 10,141.82 : x
  2. Step 2: Convert to fraction form
    18,101.14/24,978.21 = 10,141.82/x
  3. Step 3: Cross multiply
    18,101.14x = 24,978.21 × 10,141.82
  4. Step 4: Simplify right side
    18,101.14x = 253,324,580.99
  5. Step 5: Solve for x
    x = 253,324,580.99/18,101.14
  6. Step 6: Final answer
    x = 13,994.95

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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.