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Finding the Fourth Proportional to 17,785.50, 26,686.92 and 11,930.58

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Solution

The fourth proportional to 17,785.50, 26,686.92 and 11,930.58 is: 17,901.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,785.50 : 26,686.92 = 11,930.58 : x
  2. Step 2: Convert to fraction form
    17,785.50/26,686.92 = 11,930.58/x
  3. Step 3: Cross multiply
    17,785.50x = 26,686.92 × 11,930.58
  4. Step 4: Simplify right side
    17,785.50x = 318,390,434.01
  5. Step 5: Solve for x
    x = 318,390,434.01/17,785.50
  6. Step 6: Final answer
    x = 17,901.69

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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.