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Finding the Fourth Proportional to 17,814.89, 26,743.02 and 10,424.64

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Solution

The fourth proportional to 17,814.89, 26,743.02 and 10,424.64 is: 15,649.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,814.89 : 26,743.02 = 10,424.64 : x
  2. Step 2: Convert to fraction form
    17,814.89/26,743.02 = 10,424.64/x
  3. Step 3: Cross multiply
    17,814.89x = 26,743.02 × 10,424.64
  4. Step 4: Simplify right side
    17,814.89x = 278,786,356.01
  5. Step 5: Solve for x
    x = 278,786,356.01/17,814.89
  6. Step 6: Final answer
    x = 15,649.07

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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.