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Finding the Fourth Proportional to 18,142.05, 25,035.34 and 10,076.07

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Solution

The fourth proportional to 18,142.05, 25,035.34 and 10,076.07 is: 13,904.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,142.05 : 25,035.34 = 10,076.07 : x
  2. Step 2: Convert to fraction form
    18,142.05/25,035.34 = 10,076.07/x
  3. Step 3: Cross multiply
    18,142.05x = 25,035.34 × 10,076.07
  4. Step 4: Simplify right side
    18,142.05x = 252,257,838.31
  5. Step 5: Solve for x
    x = 252,257,838.31/18,142.05
  6. Step 6: Final answer
    x = 13,904.59

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