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Finding the Fourth Proportional to 16,156.50, 22,295.86 and 9,082.93

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Solution

The fourth proportional to 16,156.50, 22,295.86 and 9,082.93 is: 12,534.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,156.50 : 22,295.86 = 9,082.93 : x
  2. Step 2: Convert to fraction form
    16,156.50/22,295.86 = 9,082.93/x
  3. Step 3: Cross multiply
    16,156.50x = 22,295.86 × 9,082.93
  4. Step 4: Simplify right side
    16,156.50x = 202,511,735.67
  5. Step 5: Solve for x
    x = 202,511,735.67/16,156.50
  6. Step 6: Final answer
    x = 12,534.38

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Why These Related Problems?

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