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Finding the Fourth Proportional to 12,142.39, 18,200.61 and 8,669.11

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Solution

The fourth proportional to 12,142.39, 18,200.61 and 8,669.11 is: 12,994.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142.39 : 18,200.61 = 8,669.11 : x
  2. Step 2: Convert to fraction form
    12,142.39/18,200.61 = 8,669.11/x
  3. Step 3: Cross multiply
    12,142.39x = 18,200.61 × 8,669.11
  4. Step 4: Simplify right side
    12,142.39x = 157,783,090.16
  5. Step 5: Solve for x
    x = 157,783,090.16/12,142.39
  6. Step 6: Final answer
    x = 12,994.40

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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.