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Finding the Fourth Proportional to 13,105.96, 19,655.49 and 8,945.20

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Solution

The fourth proportional to 13,105.96, 19,655.49 and 8,945.20 is: 13,415.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,105.96 : 19,655.49 = 8,945.20 : x
  2. Step 2: Convert to fraction form
    13,105.96/19,655.49 = 8,945.20/x
  3. Step 3: Cross multiply
    13,105.96x = 19,655.49 × 8,945.20
  4. Step 4: Simplify right side
    13,105.96x = 175,822,289.15
  5. Step 5: Solve for x
    x = 175,822,289.15/13,105.96
  6. Step 6: Final answer
    x = 13,415.45

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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.