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Finding the Fourth Proportional to 12,138.79, 18,212.57 and 4,242.46

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Solution

The fourth proportional to 12,138.79, 18,212.57 and 4,242.46 is: 6,365.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.79 : 18,212.57 = 4,242.46 : x
  2. Step 2: Convert to fraction form
    12,138.79/18,212.57 = 4,242.46/x
  3. Step 3: Cross multiply
    12,138.79x = 18,212.57 × 4,242.46
  4. Step 4: Simplify right side
    12,138.79x = 77,266,078.51
  5. Step 5: Solve for x
    x = 77,266,078.51/12,138.79
  6. Step 6: Final answer
    x = 6,365.22

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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.