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Finding the Fourth Proportional to 13,220.69, 19,817.02 and 6,194.78

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Solution

The fourth proportional to 13,220.69, 19,817.02 and 6,194.78 is: 9,285.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,220.69 : 19,817.02 = 6,194.78 : x
  2. Step 2: Convert to fraction form
    13,220.69/19,817.02 = 6,194.78/x
  3. Step 3: Cross multiply
    13,220.69x = 19,817.02 × 6,194.78
  4. Step 4: Simplify right side
    13,220.69x = 122,762,079.16
  5. Step 5: Solve for x
    x = 122,762,079.16/13,220.69
  6. Step 6: Final answer
    x = 9,285.60

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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.