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Finding the Fourth Proportional to 14,568.69, 20,092.36 and 12,311.05

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Solution

The fourth proportional to 14,568.69, 20,092.36 and 12,311.05 is: 16,978.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,568.69 : 20,092.36 = 12,311.05 : x
  2. Step 2: Convert to fraction form
    14,568.69/20,092.36 = 12,311.05/x
  3. Step 3: Cross multiply
    14,568.69x = 20,092.36 × 12,311.05
  4. Step 4: Simplify right side
    14,568.69x = 247,358,048.58
  5. Step 5: Solve for x
    x = 247,358,048.58/14,568.69
  6. Step 6: Final answer
    x = 16,978.74

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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.