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Finding the Fourth Proportional to 17,509.75, 26,264.85 and 5,822.97

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Solution

The fourth proportional to 17,509.75, 26,264.85 and 5,822.97 is: 8,734.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,509.75 : 26,264.85 = 5,822.97 : x
  2. Step 2: Convert to fraction form
    17,509.75/26,264.85 = 5,822.97/x
  3. Step 3: Cross multiply
    17,509.75x = 26,264.85 × 5,822.97
  4. Step 4: Simplify right side
    17,509.75x = 152,939,433.60
  5. Step 5: Solve for x
    x = 152,939,433.60/17,509.75
  6. Step 6: Final answer
    x = 8,734.53

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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.