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Finding the Fourth Proportional to 12,123.10, 18,184.61 and 3,803.10

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Solution

The fourth proportional to 12,123.10, 18,184.61 and 3,803.10 is: 5,704.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,123.10 : 18,184.61 = 3,803.10 : x
  2. Step 2: Convert to fraction form
    12,123.10/18,184.61 = 3,803.10/x
  3. Step 3: Cross multiply
    12,123.10x = 18,184.61 × 3,803.10
  4. Step 4: Simplify right side
    12,123.10x = 69,157,926.24
  5. Step 5: Solve for x
    x = 69,157,926.24/12,123.10
  6. Step 6: Final answer
    x = 5,704.64

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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.