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Finding the Fourth Proportional to 12,138.36, 18,211.92 and 4,242.05

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Solution

The fourth proportional to 12,138.36, 18,211.92 and 4,242.05 is: 6,364.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.36 : 18,211.92 = 4,242.05 : x
  2. Step 2: Convert to fraction form
    12,138.36/18,211.92 = 4,242.05/x
  3. Step 3: Cross multiply
    12,138.36x = 18,211.92 × 4,242.05
  4. Step 4: Simplify right side
    12,138.36x = 77,255,784.18
  5. Step 5: Solve for x
    x = 77,255,784.18/12,138.36
  6. Step 6: Final answer
    x = 6,364.60

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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.