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Finding the Fourth Proportional to 12,091.44, 18,140.79 and 10,002

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Solution

The fourth proportional to 12,091.44, 18,140.79 and 10,002 is: 15,006.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,091.44 : 18,140.79 = 10,002 : x
  2. Step 2: Convert to fraction form
    12,091.44/18,140.79 = 10,002/x
  3. Step 3: Cross multiply
    12,091.44x = 18,140.79 × 10,002
  4. Step 4: Simplify right side
    12,091.44x = 181,444,181.58
  5. Step 5: Solve for x
    x = 181,444,181.58/12,091.44
  6. Step 6: Final answer
    x = 15,006.00

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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.