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Finding the Fourth Proportional to 12,096.63, 18,145.62 and 3,777.80

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Solution

The fourth proportional to 12,096.63, 18,145.62 and 3,777.80 is: 5,666.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096.63 : 18,145.62 = 3,777.80 : x
  2. Step 2: Convert to fraction form
    12,096.63/18,145.62 = 3,777.80/x
  3. Step 3: Cross multiply
    12,096.63x = 18,145.62 × 3,777.80
  4. Step 4: Simplify right side
    12,096.63x = 68,550,432.51
  5. Step 5: Solve for x
    x = 68,550,432.51/12,096.63
  6. Step 6: Final answer
    x = 5,666.90

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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.