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Finding the Fourth Proportional to 17,509.56, 26,265.18 and 5,822.64

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Solution

The fourth proportional to 17,509.56, 26,265.18 and 5,822.64 is: 8,734.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,509.56 : 26,265.18 = 5,822.64 : x
  2. Step 2: Convert to fraction form
    17,509.56/26,265.18 = 5,822.64/x
  3. Step 3: Cross multiply
    17,509.56x = 26,265.18 × 5,822.64
  4. Step 4: Simplify right side
    17,509.56x = 152,932,687.68
  5. Step 5: Solve for x
    x = 152,932,687.68/17,509.56
  6. Step 6: Final answer
    x = 8,734.24

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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.