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Finding the Fourth Proportional to 12,122.30, 18,169.05 and 5,102.30

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Solution

The fourth proportional to 12,122.30, 18,169.05 and 5,102.30 is: 7,647.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,122.30 : 18,169.05 = 5,102.30 : x
  2. Step 2: Convert to fraction form
    12,122.30/18,169.05 = 5,102.30/x
  3. Step 3: Cross multiply
    12,122.30x = 18,169.05 × 5,102.30
  4. Step 4: Simplify right side
    12,122.30x = 92,703,943.82
  5. Step 5: Solve for x
    x = 92,703,943.82/12,122.30
  6. Step 6: Final answer
    x = 7,647.39

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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.