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Finding the Fourth Proportional to 23,837.50, 32,901.80 and 16,286.88

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Solution

The fourth proportional to 23,837.50, 32,901.80 and 16,286.88 is: 22,480.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,837.50 : 32,901.80 = 16,286.88 : x
  2. Step 2: Convert to fraction form
    23,837.50/32,901.80 = 16,286.88/x
  3. Step 3: Cross multiply
    23,837.50x = 32,901.80 × 16,286.88
  4. Step 4: Simplify right side
    23,837.50x = 535,867,668.38
  5. Step 5: Solve for x
    x = 535,867,668.38/23,837.50
  6. Step 6: Final answer
    x = 22,480.03

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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.