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Finding the Fourth Proportional to 17,600.40, 26,422.20 and 9,709.20

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Solution

The fourth proportional to 17,600.40, 26,422.20 and 9,709.20 is: 14,575.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,600.40 : 26,422.20 = 9,709.20 : x
  2. Step 2: Convert to fraction form
    17,600.40/26,422.20 = 9,709.20/x
  3. Step 3: Cross multiply
    17,600.40x = 26,422.20 × 9,709.20
  4. Step 4: Simplify right side
    17,600.40x = 256,538,424.24
  5. Step 5: Solve for x
    x = 256,538,424.24/17,600.40
  6. Step 6: Final answer
    x = 14,575.72

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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.