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Finding the Fourth Proportional to 20,370, 30,567.96 and 8,058

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Solution

The fourth proportional to 20,370, 30,567.96 and 8,058 is: 12,092.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,370 : 30,567.96 = 8,058 : x
  2. Step 2: Convert to fraction form
    20,370/30,567.96 = 8,058/x
  3. Step 3: Cross multiply
    20,370x = 30,567.96 × 8,058
  4. Step 4: Simplify right side
    20,370x = 246,316,621.68
  5. Step 5: Solve for x
    x = 246,316,621.68/20,370
  6. Step 6: Final answer
    x = 12,092.13

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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.