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Finding the Fourth Proportional to 17,826.62, 26,727.78 and 9,044.60

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Solution

The fourth proportional to 17,826.62, 26,727.78 and 9,044.60 is: 13,560.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,826.62 : 26,727.78 = 9,044.60 : x
  2. Step 2: Convert to fraction form
    17,826.62/26,727.78 = 9,044.60/x
  3. Step 3: Cross multiply
    17,826.62x = 26,727.78 × 9,044.60
  4. Step 4: Simplify right side
    17,826.62x = 241,742,078.99
  5. Step 5: Solve for x
    x = 241,742,078.99/17,826.62
  6. Step 6: Final answer
    x = 13,560.74

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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.