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Finding the Fourth Proportional to 15,805.78, 21,811.38 and 8,732.02

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Solution

The fourth proportional to 15,805.78, 21,811.38 and 8,732.02 is: 12,049.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,805.78 : 21,811.38 = 8,732.02 : x
  2. Step 2: Convert to fraction form
    15,805.78/21,811.38 = 8,732.02/x
  3. Step 3: Cross multiply
    15,805.78x = 21,811.38 × 8,732.02
  4. Step 4: Simplify right side
    15,805.78x = 190,457,406.39
  5. Step 5: Solve for x
    x = 190,457,406.39/15,805.78
  6. Step 6: Final answer
    x = 12,049.86

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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.