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Finding the Fourth Proportional to 17,660.10, 26,468.55 and 7,788.90

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Solution

The fourth proportional to 17,660.10, 26,468.55 and 7,788.90 is: 11,673.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,660.10 : 26,468.55 = 7,788.90 : x
  2. Step 2: Convert to fraction form
    17,660.10/26,468.55 = 7,788.90/x
  3. Step 3: Cross multiply
    17,660.10x = 26,468.55 × 7,788.90
  4. Step 4: Simplify right side
    17,660.10x = 206,160,889.10
  5. Step 5: Solve for x
    x = 206,160,889.10/17,660.10
  6. Step 6: Final answer
    x = 11,673.82

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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.