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Finding the Fourth Proportional to 12,121.90, 18,174.75 and 9,784.78

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Solution

The fourth proportional to 12,121.90, 18,174.75 and 9,784.78 is: 14,670.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,121.90 : 18,174.75 = 9,784.78 : x
  2. Step 2: Convert to fraction form
    12,121.90/18,174.75 = 9,784.78/x
  3. Step 3: Cross multiply
    12,121.90x = 18,174.75 × 9,784.78
  4. Step 4: Simplify right side
    12,121.90x = 177,835,930.31
  5. Step 5: Solve for x
    x = 177,835,930.31/12,121.90
  6. Step 6: Final answer
    x = 14,670.63

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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.