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Finding the Fourth Proportional to 24,866.56, 37,309.80 and 9,072.78

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Solution

The fourth proportional to 24,866.56, 37,309.80 and 9,072.78 is: 13,612.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,866.56 : 37,309.80 = 9,072.78 : x
  2. Step 2: Convert to fraction form
    24,866.56/37,309.80 = 9,072.78/x
  3. Step 3: Cross multiply
    24,866.56x = 37,309.80 × 9,072.78
  4. Step 4: Simplify right side
    24,866.56x = 338,503,450.32
  5. Step 5: Solve for x
    x = 338,503,450.32/24,866.56
  6. Step 6: Final answer
    x = 13,612.80

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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.