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Finding the Fourth Proportional to 12,148.17, 18,212.53 and 5,578.66

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Solution

The fourth proportional to 12,148.17, 18,212.53 and 5,578.66 is: 8,363.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,148.17 : 18,212.53 = 5,578.66 : x
  2. Step 2: Convert to fraction form
    12,148.17/18,212.53 = 5,578.66/x
  3. Step 3: Cross multiply
    12,148.17x = 18,212.53 × 5,578.66
  4. Step 4: Simplify right side
    12,148.17x = 101,601,512.61
  5. Step 5: Solve for x
    x = 101,601,512.61/12,148.17
  6. Step 6: Final answer
    x = 8,363.52

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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.