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Finding the Fourth Proportional to 18,035.86, 24,889.61 and 10,078.42

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Solution

The fourth proportional to 18,035.86, 24,889.61 and 10,078.42 is: 13,908.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,035.86 : 24,889.61 = 10,078.42 : x
  2. Step 2: Convert to fraction form
    18,035.86/24,889.61 = 10,078.42/x
  3. Step 3: Cross multiply
    18,035.86x = 24,889.61 × 10,078.42
  4. Step 4: Simplify right side
    18,035.86x = 250,847,943.22
  5. Step 5: Solve for x
    x = 250,847,943.22/18,035.86
  6. Step 6: Final answer
    x = 13,908.29

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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.