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Finding the Fourth Proportional to 14,560.81, 20,093.74 and 8,188.46

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Solution

The fourth proportional to 14,560.81, 20,093.74 and 8,188.46 is: 11,299.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,560.81 : 20,093.74 = 8,188.46 : x
  2. Step 2: Convert to fraction form
    14,560.81/20,093.74 = 8,188.46/x
  3. Step 3: Cross multiply
    14,560.81x = 20,093.74 × 8,188.46
  4. Step 4: Simplify right side
    14,560.81x = 164,536,740.65
  5. Step 5: Solve for x
    x = 164,536,740.65/14,560.81
  6. Step 6: Final answer
    x = 11,299.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.