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Finding the Fourth Proportional to 16,534.20, 22,817.16 and 9,082.20

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Solution

The fourth proportional to 16,534.20, 22,817.16 and 9,082.20 is: 12,533.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,534.20 : 22,817.16 = 9,082.20 : x
  2. Step 2: Convert to fraction form
    16,534.20/22,817.16 = 9,082.20/x
  3. Step 3: Cross multiply
    16,534.20x = 22,817.16 × 9,082.20
  4. Step 4: Simplify right side
    16,534.20x = 207,230,010.55
  5. Step 5: Solve for x
    x = 207,230,010.55/16,534.20
  6. Step 6: Final answer
    x = 12,533.42

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1.5x scale

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.