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Finding the Fourth Proportional to 21,750.60, 32,627.14 and 6,167

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Solution

The fourth proportional to 21,750.60, 32,627.14 and 6,167 is: 9,250.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,750.60 : 32,627.14 = 6,167 : x
  2. Step 2: Convert to fraction form
    21,750.60/32,627.14 = 6,167/x
  3. Step 3: Cross multiply
    21,750.60x = 32,627.14 × 6,167
  4. Step 4: Simplify right side
    21,750.60x = 201,211,572.38
  5. Step 5: Solve for x
    x = 201,211,572.38/21,750.60
  6. Step 6: Final answer
    x = 9,250.85

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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.