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Finding the Fourth Proportional to 14,708.56, 20,297.82 and 8,422.15

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Solution

The fourth proportional to 14,708.56, 20,297.82 and 8,422.15 is: 11,622.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,708.56 : 20,297.82 = 8,422.15 : x
  2. Step 2: Convert to fraction form
    14,708.56/20,297.82 = 8,422.15/x
  3. Step 3: Cross multiply
    14,708.56x = 20,297.82 × 8,422.15
  4. Step 4: Simplify right side
    14,708.56x = 170,951,284.71
  5. Step 5: Solve for x
    x = 170,951,284.71/14,708.56
  6. Step 6: Final answer
    x = 11,622.57

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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.