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Finding the Fourth Proportional to 17,729.26, 26,601.70 and 9,407.23

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Solution

The fourth proportional to 17,729.26, 26,601.70 and 9,407.23 is: 14,114.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,729.26 : 26,601.70 = 9,407.23 : x
  2. Step 2: Convert to fraction form
    17,729.26/26,601.70 = 9,407.23/x
  3. Step 3: Cross multiply
    17,729.26x = 26,601.70 × 9,407.23
  4. Step 4: Simplify right side
    17,729.26x = 250,248,310.29
  5. Step 5: Solve for x
    x = 250,248,310.29/17,729.26
  6. Step 6: Final answer
    x = 14,114.99

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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.