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Finding the Fourth Proportional to 22,152.67, 30,596.22 and 16,129.85

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Solution

The fourth proportional to 22,152.67, 30,596.22 and 16,129.85 is: 22,277.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,152.67 : 30,596.22 = 16,129.85 : x
  2. Step 2: Convert to fraction form
    22,152.67/30,596.22 = 16,129.85/x
  3. Step 3: Cross multiply
    22,152.67x = 30,596.22 × 16,129.85
  4. Step 4: Simplify right side
    22,152.67x = 493,512,439.17
  5. Step 5: Solve for x
    x = 493,512,439.17/22,152.67
  6. Step 6: Final answer
    x = 22,277.79

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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.