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Finding the Fourth Proportional to 12,091.78, 18,138.48 and 4,298.50

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Solution

The fourth proportional to 12,091.78, 18,138.48 and 4,298.50 is: 6,448.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,091.78 : 18,138.48 = 4,298.50 : x
  2. Step 2: Convert to fraction form
    12,091.78/18,138.48 = 4,298.50/x
  3. Step 3: Cross multiply
    12,091.78x = 18,138.48 × 4,298.50
  4. Step 4: Simplify right side
    12,091.78x = 77,968,144.10
  5. Step 5: Solve for x
    x = 77,968,144.10/12,091.78
  6. Step 6: Final answer
    x = 6,448.03

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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.