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Finding the Fourth Proportional to 12,173.78, 18,225.08 and 11,006.47

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Solution

The fourth proportional to 12,173.78, 18,225.08 and 11,006.47 is: 16,477.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,173.78 : 18,225.08 = 11,006.47 : x
  2. Step 2: Convert to fraction form
    12,173.78/18,225.08 = 11,006.47/x
  3. Step 3: Cross multiply
    12,173.78x = 18,225.08 × 11,006.47
  4. Step 4: Simplify right side
    12,173.78x = 200,593,650.11
  5. Step 5: Solve for x
    x = 200,593,650.11/12,173.78
  6. Step 6: Final answer
    x = 16,477.52

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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.