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Finding the Fourth Proportional to 17,785.01, 26,677.52 and 6,098.33

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Solution

The fourth proportional to 17,785.01, 26,677.52 and 6,098.33 is: 9,147.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,785.01 : 26,677.52 = 6,098.33 : x
  2. Step 2: Convert to fraction form
    17,785.01/26,677.52 = 6,098.33/x
  3. Step 3: Cross multiply
    17,785.01x = 26,677.52 × 6,098.33
  4. Step 4: Simplify right side
    17,785.01x = 162,688,290.05
  5. Step 5: Solve for x
    x = 162,688,290.05/17,785.01
  6. Step 6: Final answer
    x = 9,147.50

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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.