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Finding the Fourth Proportional to 14,657.69, 20,219.96 and 8,993.70

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Solution

The fourth proportional to 14,657.69, 20,219.96 and 8,993.70 is: 12,406.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,657.69 : 20,219.96 = 8,993.70 : x
  2. Step 2: Convert to fraction form
    14,657.69/20,219.96 = 8,993.70/x
  3. Step 3: Cross multiply
    14,657.69x = 20,219.96 × 8,993.70
  4. Step 4: Simplify right side
    14,657.69x = 181,852,209.28
  5. Step 5: Solve for x
    x = 181,852,209.28/14,657.69
  6. Step 6: Final answer
    x = 12,406.61

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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.