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Finding the Fourth Proportional to 12,538.72, 18,807.90 and 4,220.56

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Solution

The fourth proportional to 12,538.72, 18,807.90 and 4,220.56 is: 6,330.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.72 : 18,807.90 = 4,220.56 : x
  2. Step 2: Convert to fraction form
    12,538.72/18,807.90 = 4,220.56/x
  3. Step 3: Cross multiply
    12,538.72x = 18,807.90 × 4,220.56
  4. Step 4: Simplify right side
    12,538.72x = 79,379,870.42
  5. Step 5: Solve for x
    x = 79,379,870.42/12,538.72
  6. Step 6: Final answer
    x = 6,330.78

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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.