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Finding the Fourth Proportional to 13,490.41, 20,234.89 and 4,130.44

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Solution

The fourth proportional to 13,490.41, 20,234.89 and 4,130.44 is: 6,195.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,490.41 : 20,234.89 = 4,130.44 : x
  2. Step 2: Convert to fraction form
    13,490.41/20,234.89 = 4,130.44/x
  3. Step 3: Cross multiply
    13,490.41x = 20,234.89 × 4,130.44
  4. Step 4: Simplify right side
    13,490.41x = 83,578,999.05
  5. Step 5: Solve for x
    x = 83,578,999.05/13,490.41
  6. Step 6: Final answer
    x = 6,195.44

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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.