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Finding the Fourth Proportional to 12,122, 18,187.66 and 4,731.70

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Solution

The fourth proportional to 12,122, 18,187.66 and 4,731.70 is: 7,099.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,122 : 18,187.66 = 4,731.70 : x
  2. Step 2: Convert to fraction form
    12,122/18,187.66 = 4,731.70/x
  3. Step 3: Cross multiply
    12,122x = 18,187.66 × 4,731.70
  4. Step 4: Simplify right side
    12,122x = 86,058,550.82
  5. Step 5: Solve for x
    x = 86,058,550.82/12,122
  6. Step 6: Final answer
    x = 7,099.37

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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.