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Finding the Fourth Proportional to 17,861.87, 24,649.16 and 9,904.02

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Solution

The fourth proportional to 17,861.87, 24,649.16 and 9,904.02 is: 13,667.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,861.87 : 24,649.16 = 9,904.02 : x
  2. Step 2: Convert to fraction form
    17,861.87/24,649.16 = 9,904.02/x
  3. Step 3: Cross multiply
    17,861.87x = 24,649.16 × 9,904.02
  4. Step 4: Simplify right side
    17,861.87x = 244,125,724.10
  5. Step 5: Solve for x
    x = 244,125,724.10/17,861.87
  6. Step 6: Final answer
    x = 13,667.43

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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.