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Finding the Fourth Proportional to 18,057.69, 24,919.79 and 10,100.34

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Solution

The fourth proportional to 18,057.69, 24,919.79 and 10,100.34 is: 13,938.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,057.69 : 24,919.79 = 10,100.34 : x
  2. Step 2: Convert to fraction form
    18,057.69/24,919.79 = 10,100.34/x
  3. Step 3: Cross multiply
    18,057.69x = 24,919.79 × 10,100.34
  4. Step 4: Simplify right side
    18,057.69x = 251,698,301.23
  5. Step 5: Solve for x
    x = 251,698,301.23/18,057.69
  6. Step 6: Final answer
    x = 13,938.57

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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.