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Finding the Fourth Proportional to 13,384.09, 20,054.23 and 8,103.09

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Solution

The fourth proportional to 13,384.09, 20,054.23 and 8,103.09 is: 12,141.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384.09 : 20,054.23 = 8,103.09 : x
  2. Step 2: Convert to fraction form
    13,384.09/20,054.23 = 8,103.09/x
  3. Step 3: Cross multiply
    13,384.09x = 20,054.23 × 8,103.09
  4. Step 4: Simplify right side
    13,384.09x = 162,501,172.71
  5. Step 5: Solve for x
    x = 162,501,172.71/13,384.09
  6. Step 6: Final answer
    x = 12,141.37

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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.