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Finding the Fourth Proportional to 14,657.68, 20,226.39 and 8,284.81

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Solution

The fourth proportional to 14,657.68, 20,226.39 and 8,284.81 is: 11,432.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,657.68 : 20,226.39 = 8,284.81 : x
  2. Step 2: Convert to fraction form
    14,657.68/20,226.39 = 8,284.81/x
  3. Step 3: Cross multiply
    14,657.68x = 20,226.39 × 8,284.81
  4. Step 4: Simplify right side
    14,657.68x = 167,571,777.42
  5. Step 5: Solve for x
    x = 167,571,777.42/14,657.68
  6. Step 6: Final answer
    x = 11,432.36

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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.