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Finding the Fourth Proportional to 12,370.98, 18,548.37 and 5,704.74

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Solution

The fourth proportional to 12,370.98, 18,548.37 and 5,704.74 is: 8,553.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,370.98 : 18,548.37 = 5,704.74 : x
  2. Step 2: Convert to fraction form
    12,370.98/18,548.37 = 5,704.74/x
  3. Step 3: Cross multiply
    12,370.98x = 18,548.37 × 5,704.74
  4. Step 4: Simplify right side
    12,370.98x = 105,813,628.27
  5. Step 5: Solve for x
    x = 105,813,628.27/12,370.98
  6. Step 6: Final answer
    x = 8,553.37

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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.