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Finding the Fourth Proportional to 13,803.30, 20,678.82 and 8,164.08

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Solution

The fourth proportional to 13,803.30, 20,678.82 and 8,164.08 is: 12,230.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,803.30 : 20,678.82 = 8,164.08 : x
  2. Step 2: Convert to fraction form
    13,803.30/20,678.82 = 8,164.08/x
  3. Step 3: Cross multiply
    13,803.30x = 20,678.82 × 8,164.08
  4. Step 4: Simplify right side
    13,803.30x = 168,823,478.55
  5. Step 5: Solve for x
    x = 168,823,478.55/13,803.30
  6. Step 6: Final answer
    x = 12,230.66

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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.