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Finding the Fourth Proportional to 13,108.92, 19,667.22 and 5,315.64

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Solution

The fourth proportional to 13,108.92, 19,667.22 and 5,315.64 is: 7,975.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,108.92 : 19,667.22 = 5,315.64 : x
  2. Step 2: Convert to fraction form
    13,108.92/19,667.22 = 5,315.64/x
  3. Step 3: Cross multiply
    13,108.92x = 19,667.22 × 5,315.64
  4. Step 4: Simplify right side
    13,108.92x = 104,543,861.32
  5. Step 5: Solve for x
    x = 104,543,861.32/13,108.92
  6. Step 6: Final answer
    x = 7,975.02

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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.