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Finding the Fourth Proportional to 17,634.22, 26,416.71 and 10,223.10

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Solution

The fourth proportional to 17,634.22, 26,416.71 and 10,223.10 is: 15,314.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,634.22 : 26,416.71 = 10,223.10 : x
  2. Step 2: Convert to fraction form
    17,634.22/26,416.71 = 10,223.10/x
  3. Step 3: Cross multiply
    17,634.22x = 26,416.71 × 10,223.10
  4. Step 4: Simplify right side
    17,634.22x = 270,060,668.00
  5. Step 5: Solve for x
    x = 270,060,668.00/17,634.22
  6. Step 6: Final answer
    x = 15,314.58

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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.