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Finding the Fourth Proportional to 17,859.69, 24,646.01 and 9,901.85

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Solution

The fourth proportional to 17,859.69, 24,646.01 and 9,901.85 is: 13,664.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,859.69 : 24,646.01 = 9,901.85 : x
  2. Step 2: Convert to fraction form
    17,859.69/24,646.01 = 9,901.85/x
  3. Step 3: Cross multiply
    17,859.69x = 24,646.01 × 9,901.85
  4. Step 4: Simplify right side
    17,859.69x = 244,040,921.38
  5. Step 5: Solve for x
    x = 244,040,921.38/17,859.69
  6. Step 6: Final answer
    x = 13,664.34

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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.