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Finding the Fourth Proportional to 13,678.02, 18,872.19 and 8,370.90

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Solution

The fourth proportional to 13,678.02, 18,872.19 and 8,370.90 is: 11,549.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678.02 : 18,872.19 = 8,370.90 : x
  2. Step 2: Convert to fraction form
    13,678.02/18,872.19 = 8,370.90/x
  3. Step 3: Cross multiply
    13,678.02x = 18,872.19 × 8,370.90
  4. Step 4: Simplify right side
    13,678.02x = 157,977,215.27
  5. Step 5: Solve for x
    x = 157,977,215.27/13,678.02
  6. Step 6: Final answer
    x = 11,549.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.