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Finding the Fourth Proportional to 20,617.12, 30,924.06 and 5,825.44

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Solution

The fourth proportional to 20,617.12, 30,924.06 and 5,825.44 is: 8,737.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,617.12 : 30,924.06 = 5,825.44 : x
  2. Step 2: Convert to fraction form
    20,617.12/30,924.06 = 5,825.44/x
  3. Step 3: Cross multiply
    20,617.12x = 30,924.06 × 5,825.44
  4. Step 4: Simplify right side
    20,617.12x = 180,146,256.09
  5. Step 5: Solve for x
    x = 180,146,256.09/20,617.12
  6. Step 6: Final answer
    x = 8,737.70

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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.