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Finding the Fourth Proportional to 17,887.01, 26,821.88 and 10,493.87

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Solution

The fourth proportional to 17,887.01, 26,821.88 and 10,493.87 is: 15,735.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,887.01 : 26,821.88 = 10,493.87 : x
  2. Step 2: Convert to fraction form
    17,887.01/26,821.88 = 10,493.87/x
  3. Step 3: Cross multiply
    17,887.01x = 26,821.88 × 10,493.87
  4. Step 4: Simplify right side
    17,887.01x = 281,465,375.81
  5. Step 5: Solve for x
    x = 281,465,375.81/17,887.01
  6. Step 6: Final answer
    x = 15,735.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.