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Finding the Fourth Proportional to 21,866, 32,806.24 and 10,780.32

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Solution

The fourth proportional to 21,866, 32,806.24 and 10,780.32 is: 16,174.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,866 : 32,806.24 = 10,780.32 : x
  2. Step 2: Convert to fraction form
    21,866/32,806.24 = 10,780.32/x
  3. Step 3: Cross multiply
    21,866x = 32,806.24 × 10,780.32
  4. Step 4: Simplify right side
    21,866x = 353,661,765.20
  5. Step 5: Solve for x
    x = 353,661,765.20/21,866
  6. Step 6: Final answer
    x = 16,174.05

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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.