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Finding the Fourth Proportional to 12,186.35, 18,267.63 and 5,946.11

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Solution

The fourth proportional to 12,186.35, 18,267.63 and 5,946.11 is: 8,913.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.35 : 18,267.63 = 5,946.11 : x
  2. Step 2: Convert to fraction form
    12,186.35/18,267.63 = 5,946.11/x
  3. Step 3: Cross multiply
    12,186.35x = 18,267.63 × 5,946.11
  4. Step 4: Simplify right side
    12,186.35x = 108,621,292.29
  5. Step 5: Solve for x
    x = 108,621,292.29/12,186.35
  6. Step 6: Final answer
    x = 8,913.36

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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.