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Finding the Fourth Proportional to 21,803.50, 32,717.06 and 16,882.75

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Solution

The fourth proportional to 21,803.50, 32,717.06 and 16,882.75 is: 25,333.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,803.50 : 32,717.06 = 16,882.75 : x
  2. Step 2: Convert to fraction form
    21,803.50/32,717.06 = 16,882.75/x
  3. Step 3: Cross multiply
    21,803.50x = 32,717.06 × 16,882.75
  4. Step 4: Simplify right side
    21,803.50x = 552,353,944.72
  5. Step 5: Solve for x
    x = 552,353,944.72/21,803.50
  6. Step 6: Final answer
    x = 25,333.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.