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Finding the Fourth Proportional to 13,204.76, 19,814.44 and 5,411.76

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Solution

The fourth proportional to 13,204.76, 19,814.44 and 5,411.76 is: 8,120.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204.76 : 19,814.44 = 5,411.76 : x
  2. Step 2: Convert to fraction form
    13,204.76/19,814.44 = 5,411.76/x
  3. Step 3: Cross multiply
    13,204.76x = 19,814.44 × 5,411.76
  4. Step 4: Simplify right side
    13,204.76x = 107,230,993.81
  5. Step 5: Solve for x
    x = 107,230,993.81/13,204.76
  6. Step 6: Final answer
    x = 8,120.63

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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.