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Finding the Fourth Proportional to 27,567, 41,350.50 and 9,099

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Solution

The fourth proportional to 27,567, 41,350.50 and 9,099 is: 13,648.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,567 : 41,350.50 = 9,099 : x
  2. Step 2: Convert to fraction form
    27,567/41,350.50 = 9,099/x
  3. Step 3: Cross multiply
    27,567x = 41,350.50 × 9,099
  4. Step 4: Simplify right side
    27,567x = 376,248,199.50
  5. Step 5: Solve for x
    x = 376,248,199.50/27,567
  6. Step 6: Final answer
    x = 13,648.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.