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Finding the Fourth Proportional to 27,474.14, 37,898.07 and 17,538.14

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Solution

The fourth proportional to 27,474.14, 37,898.07 and 17,538.14 is: 24,192.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,474.14 : 37,898.07 = 17,538.14 : x
  2. Step 2: Convert to fraction form
    27,474.14/37,898.07 = 17,538.14/x
  3. Step 3: Cross multiply
    27,474.14x = 37,898.07 × 17,538.14
  4. Step 4: Simplify right side
    27,474.14x = 664,661,657.39
  5. Step 5: Solve for x
    x = 664,661,657.39/27,474.14
  6. Step 6: Final answer
    x = 24,192.26

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1.5x scale

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.