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Finding the Fourth Proportional to 16,553.70, 22,844.12 and 9,480.12

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Solution

The fourth proportional to 16,553.70, 22,844.12 and 9,480.12 is: 13,082.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,553.70 : 22,844.12 = 9,480.12 : x
  2. Step 2: Convert to fraction form
    16,553.70/22,844.12 = 9,480.12/x
  3. Step 3: Cross multiply
    16,553.70x = 22,844.12 × 9,480.12
  4. Step 4: Simplify right side
    16,553.70x = 216,564,998.89
  5. Step 5: Solve for x
    x = 216,564,998.89/16,553.70
  6. Step 6: Final answer
    x = 13,082.57

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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.