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Finding the Fourth Proportional to 18,580.83, 27,874.16 and 6,098.03

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Solution

The fourth proportional to 18,580.83, 27,874.16 and 6,098.03 is: 9,147.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,580.83 : 27,874.16 = 6,098.03 : x
  2. Step 2: Convert to fraction form
    18,580.83/27,874.16 = 6,098.03/x
  3. Step 3: Cross multiply
    18,580.83x = 27,874.16 × 6,098.03
  4. Step 4: Simplify right side
    18,580.83x = 169,977,294.04
  5. Step 5: Solve for x
    x = 169,977,294.04/18,580.83
  6. Step 6: Final answer
    x = 9,147.99

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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.