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Finding the Fourth Proportional to 20,576.98, 30,867.09 and 7,430.68

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Solution

The fourth proportional to 20,576.98, 30,867.09 and 7,430.68 is: 11,146.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,576.98 : 30,867.09 = 7,430.68 : x
  2. Step 2: Convert to fraction form
    20,576.98/30,867.09 = 7,430.68/x
  3. Step 3: Cross multiply
    20,576.98x = 30,867.09 × 7,430.68
  4. Step 4: Simplify right side
    20,576.98x = 229,363,468.32
  5. Step 5: Solve for x
    x = 229,363,468.32/20,576.98
  6. Step 6: Final answer
    x = 11,146.61

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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.