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Finding the Fourth Proportional to 17,039.48, 23,512.44 and 9,484

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Solution

The fourth proportional to 17,039.48, 23,512.44 and 9,484 is: 13,086.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,039.48 : 23,512.44 = 9,484 : x
  2. Step 2: Convert to fraction form
    17,039.48/23,512.44 = 9,484/x
  3. Step 3: Cross multiply
    17,039.48x = 23,512.44 × 9,484
  4. Step 4: Simplify right side
    17,039.48x = 222,991,980.96
  5. Step 5: Solve for x
    x = 222,991,980.96/17,039.48
  6. Step 6: Final answer
    x = 13,086.78

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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.