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Finding the Fourth Proportional to 18,497.09, 27,748.26 and 6,013.10

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Solution

The fourth proportional to 18,497.09, 27,748.26 and 6,013.10 is: 9,020.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,497.09 : 27,748.26 = 6,013.10 : x
  2. Step 2: Convert to fraction form
    18,497.09/27,748.26 = 6,013.10/x
  3. Step 3: Cross multiply
    18,497.09x = 27,748.26 × 6,013.10
  4. Step 4: Simplify right side
    18,497.09x = 166,853,062.21
  5. Step 5: Solve for x
    x = 166,853,062.21/18,497.09
  6. Step 6: Final answer
    x = 9,020.50

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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.