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Finding the Fourth Proportional to 15,202.91, 20,983.52 and 8,917.31

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Solution

The fourth proportional to 15,202.91, 20,983.52 and 8,917.31 is: 12,307.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,202.91 : 20,983.52 = 8,917.31 : x
  2. Step 2: Convert to fraction form
    15,202.91/20,983.52 = 8,917.31/x
  3. Step 3: Cross multiply
    15,202.91x = 20,983.52 × 8,917.31
  4. Step 4: Simplify right side
    15,202.91x = 187,116,552.73
  5. Step 5: Solve for x
    x = 187,116,552.73/15,202.91
  6. Step 6: Final answer
    x = 12,307.94

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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.