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Finding the Fourth Proportional to 21,781.04, 32,667 and 6,194.48

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Solution

The fourth proportional to 21,781.04, 32,667 and 6,194.48 is: 9,290.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,781.04 : 32,667 = 6,194.48 : x
  2. Step 2: Convert to fraction form
    21,781.04/32,667 = 6,194.48/x
  3. Step 3: Cross multiply
    21,781.04x = 32,667 × 6,194.48
  4. Step 4: Simplify right side
    21,781.04x = 202,355,078.16
  5. Step 5: Solve for x
    x = 202,355,078.16/21,781.04
  6. Step 6: Final answer
    x = 9,290.42

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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.