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Finding the Fourth Proportional to 22,083.68, 30,462 and 15,785.12

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Solution

The fourth proportional to 22,083.68, 30,462 and 15,785.12 is: 21,773.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,083.68 : 30,462 = 15,785.12 : x
  2. Step 2: Convert to fraction form
    22,083.68/30,462 = 15,785.12/x
  3. Step 3: Cross multiply
    22,083.68x = 30,462 × 15,785.12
  4. Step 4: Simplify right side
    22,083.68x = 480,846,325.44
  5. Step 5: Solve for x
    x = 480,846,325.44/22,083.68
  6. Step 6: Final answer
    x = 21,773.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.