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Finding the Fourth Proportional to 12,537.72, 18,806.40 and 4,219.56

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Solution

The fourth proportional to 12,537.72, 18,806.40 and 4,219.56 is: 6,329.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537.72 : 18,806.40 = 4,219.56 : x
  2. Step 2: Convert to fraction form
    12,537.72/18,806.40 = 4,219.56/x
  3. Step 3: Cross multiply
    12,537.72x = 18,806.40 × 4,219.56
  4. Step 4: Simplify right side
    12,537.72x = 79,354,733.18
  5. Step 5: Solve for x
    x = 79,354,733.18/12,537.72
  6. Step 6: Final answer
    x = 6,329.28

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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.