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Finding the Fourth Proportional to 12,199.50, 16,835.31 and 6,610.50

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Solution

The fourth proportional to 12,199.50, 16,835.31 and 6,610.50 is: 9,122.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.50 : 16,835.31 = 6,610.50 : x
  2. Step 2: Convert to fraction form
    12,199.50/16,835.31 = 6,610.50/x
  3. Step 3: Cross multiply
    12,199.50x = 16,835.31 × 6,610.50
  4. Step 4: Simplify right side
    12,199.50x = 111,289,816.76
  5. Step 5: Solve for x
    x = 111,289,816.76/12,199.50
  6. Step 6: Final answer
    x = 9,122.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.