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Finding the Fourth Proportional to 17,656.60, 26,463.30 and 7,785.40

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Solution

The fourth proportional to 17,656.60, 26,463.30 and 7,785.40 is: 11,668.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,656.60 : 26,463.30 = 7,785.40 : x
  2. Step 2: Convert to fraction form
    17,656.60/26,463.30 = 7,785.40/x
  3. Step 3: Cross multiply
    17,656.60x = 26,463.30 × 7,785.40
  4. Step 4: Simplify right side
    17,656.60x = 206,027,375.82
  5. Step 5: Solve for x
    x = 206,027,375.82/17,656.60
  6. Step 6: Final answer
    x = 11,668.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.