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Finding the Fourth Proportional to 17,646.60, 26,469.56 and 7,116.38

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Solution

The fourth proportional to 17,646.60, 26,469.56 and 7,116.38 is: 10,674.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,646.60 : 26,469.56 = 7,116.38 : x
  2. Step 2: Convert to fraction form
    17,646.60/26,469.56 = 7,116.38/x
  3. Step 3: Cross multiply
    17,646.60x = 26,469.56 × 7,116.38
  4. Step 4: Simplify right side
    17,646.60x = 188,367,528.86
  5. Step 5: Solve for x
    x = 188,367,528.86/17,646.60
  6. Step 6: Final answer
    x = 10,674.44

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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.