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Finding the Fourth Proportional to 12,006.86, 18,010.54 and 3,122.53

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Solution

The fourth proportional to 12,006.86, 18,010.54 and 3,122.53 is: 4,683.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,006.86 : 18,010.54 = 3,122.53 : x
  2. Step 2: Convert to fraction form
    12,006.86/18,010.54 = 3,122.53/x
  3. Step 3: Cross multiply
    12,006.86x = 18,010.54 × 3,122.53
  4. Step 4: Simplify right side
    12,006.86x = 56,238,410.34
  5. Step 5: Solve for x
    x = 56,238,410.34/12,006.86
  6. Step 6: Final answer
    x = 4,683.86

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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.