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Finding the Fourth Proportional to 12,285.78, 18,410.09 and 9,151.08

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Solution

The fourth proportional to 12,285.78, 18,410.09 and 9,151.08 is: 13,712.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,285.78 : 18,410.09 = 9,151.08 : x
  2. Step 2: Convert to fraction form
    12,285.78/18,410.09 = 9,151.08/x
  3. Step 3: Cross multiply
    12,285.78x = 18,410.09 × 9,151.08
  4. Step 4: Simplify right side
    12,285.78x = 168,472,091.60
  5. Step 5: Solve for x
    x = 168,472,091.60/12,285.78
  6. Step 6: Final answer
    x = 13,712.78

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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.