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Finding the Fourth Proportional to 13,047.30, 19,553.78 and 7,126.80

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Solution

The fourth proportional to 13,047.30, 19,553.78 and 7,126.80 is: 10,680.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,047.30 : 19,553.78 = 7,126.80 : x
  2. Step 2: Convert to fraction form
    13,047.30/19,553.78 = 7,126.80/x
  3. Step 3: Cross multiply
    13,047.30x = 19,553.78 × 7,126.80
  4. Step 4: Simplify right side
    13,047.30x = 139,355,879.30
  5. Step 5: Solve for x
    x = 139,355,879.30/13,047.30
  6. Step 6: Final answer
    x = 10,680.82

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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.