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Finding the Fourth Proportional to 13,195.96, 19,794.75 and 5,803.90

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Solution

The fourth proportional to 13,195.96, 19,794.75 and 5,803.90 is: 8,706.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,195.96 : 19,794.75 = 5,803.90 : x
  2. Step 2: Convert to fraction form
    13,195.96/19,794.75 = 5,803.90/x
  3. Step 3: Cross multiply
    13,195.96x = 19,794.75 × 5,803.90
  4. Step 4: Simplify right side
    13,195.96x = 114,886,749.53
  5. Step 5: Solve for x
    x = 114,886,749.53/13,195.96
  6. Step 6: Final answer
    x = 8,706.21

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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.