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Finding the Fourth Proportional to 20,984.82, 28,959.16 and 11,553.38

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Solution

The fourth proportional to 20,984.82, 28,959.16 and 11,553.38 is: 15,943.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,984.82 : 28,959.16 = 11,553.38 : x
  2. Step 2: Convert to fraction form
    20,984.82/28,959.16 = 11,553.38/x
  3. Step 3: Cross multiply
    20,984.82x = 28,959.16 × 11,553.38
  4. Step 4: Simplify right side
    20,984.82x = 334,576,179.96
  5. Step 5: Solve for x
    x = 334,576,179.96/20,984.82
  6. Step 6: Final answer
    x = 15,943.72

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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.