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Finding the Fourth Proportional to 12,102.54, 18,153.81 and 3,337.45

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Solution

The fourth proportional to 12,102.54, 18,153.81 and 3,337.45 is: 5,006.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.54 : 18,153.81 = 3,337.45 : x
  2. Step 2: Convert to fraction form
    12,102.54/18,153.81 = 3,337.45/x
  3. Step 3: Cross multiply
    12,102.54x = 18,153.81 × 3,337.45
  4. Step 4: Simplify right side
    12,102.54x = 60,587,485.22
  5. Step 5: Solve for x
    x = 60,587,485.22/12,102.54
  6. Step 6: Final answer
    x = 5,006.18

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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.