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Finding the Fourth Proportional to 13,213.81, 19,809.51 and 6,190.30

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Solution

The fourth proportional to 13,213.81, 19,809.51 and 6,190.30 is: 9,280.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213.81 : 19,809.51 = 6,190.30 : x
  2. Step 2: Convert to fraction form
    13,213.81/19,809.51 = 6,190.30/x
  3. Step 3: Cross multiply
    13,213.81x = 19,809.51 × 6,190.30
  4. Step 4: Simplify right side
    13,213.81x = 122,626,809.75
  5. Step 5: Solve for x
    x = 122,626,809.75/13,213.81
  6. Step 6: Final answer
    x = 9,280.20

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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.