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Finding the Fourth Proportional to 13,497.40, 20,213.70 and 6,563.80

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Solution

The fourth proportional to 13,497.40, 20,213.70 and 6,563.80 is: 9,829.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,497.40 : 20,213.70 = 6,563.80 : x
  2. Step 2: Convert to fraction form
    13,497.40/20,213.70 = 6,563.80/x
  3. Step 3: Cross multiply
    13,497.40x = 20,213.70 × 6,563.80
  4. Step 4: Simplify right side
    13,497.40x = 132,678,684.06
  5. Step 5: Solve for x
    x = 132,678,684.06/13,497.40
  6. Step 6: Final answer
    x = 9,829.94

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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.