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Finding the Fourth Proportional to 22,671, 34,008.42 and 6,255

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Solution

The fourth proportional to 22,671, 34,008.42 and 6,255 is: 9,383.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,671 : 34,008.42 = 6,255 : x
  2. Step 2: Convert to fraction form
    22,671/34,008.42 = 6,255/x
  3. Step 3: Cross multiply
    22,671x = 34,008.42 × 6,255
  4. Step 4: Simplify right side
    22,671x = 212,722,667.10
  5. Step 5: Solve for x
    x = 212,722,667.10/22,671
  6. Step 6: Final answer
    x = 9,383.03

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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.