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Finding the Fourth Proportional to 17,729.64, 26,574.30 and 11,140.20

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Solution

The fourth proportional to 17,729.64, 26,574.30 and 11,140.20 is: 16,697.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,729.64 : 26,574.30 = 11,140.20 : x
  2. Step 2: Convert to fraction form
    17,729.64/26,574.30 = 11,140.20/x
  3. Step 3: Cross multiply
    17,729.64x = 26,574.30 × 11,140.20
  4. Step 4: Simplify right side
    17,729.64x = 296,043,016.86
  5. Step 5: Solve for x
    x = 296,043,016.86/17,729.64
  6. Step 6: Final answer
    x = 16,697.63

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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.