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Finding the Fourth Proportional to 18,496.77, 27,744.42 and 10,193.25

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Solution

The fourth proportional to 18,496.77, 27,744.42 and 10,193.25 is: 15,289.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,496.77 : 27,744.42 = 10,193.25 : x
  2. Step 2: Convert to fraction form
    18,496.77/27,744.42 = 10,193.25/x
  3. Step 3: Cross multiply
    18,496.77x = 27,744.42 × 10,193.25
  4. Step 4: Simplify right side
    18,496.77x = 282,805,809.17
  5. Step 5: Solve for x
    x = 282,805,809.17/18,496.77
  6. Step 6: Final answer
    x = 15,289.47

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1.5x scale

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.