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Finding the Fourth Proportional to 15,102.14, 22,644.25 and 4,568.96

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Solution

The fourth proportional to 15,102.14, 22,644.25 and 4,568.96 is: 6,850.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,102.14 : 22,644.25 = 4,568.96 : x
  2. Step 2: Convert to fraction form
    15,102.14/22,644.25 = 4,568.96/x
  3. Step 3: Cross multiply
    15,102.14x = 22,644.25 × 4,568.96
  4. Step 4: Simplify right side
    15,102.14x = 103,460,717.67
  5. Step 5: Solve for x
    x = 103,460,717.67/15,102.14
  6. Step 6: Final answer
    x = 6,850.73

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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.