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Finding the Fourth Proportional to 12,142.06, 18,210.06 and 8,621.80

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Solution

The fourth proportional to 12,142.06, 18,210.06 and 8,621.80 is: 12,930.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142.06 : 18,210.06 = 8,621.80 : x
  2. Step 2: Convert to fraction form
    12,142.06/18,210.06 = 8,621.80/x
  3. Step 3: Cross multiply
    12,142.06x = 18,210.06 × 8,621.80
  4. Step 4: Simplify right side
    12,142.06x = 157,003,495.31
  5. Step 5: Solve for x
    x = 157,003,495.31/12,142.06
  6. Step 6: Final answer
    x = 12,930.55

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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.