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Finding the Fourth Proportional to 14,609.78, 20,161.32 and 8,322.14

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Solution

The fourth proportional to 14,609.78, 20,161.32 and 8,322.14 is: 11,484.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,609.78 : 20,161.32 = 8,322.14 : x
  2. Step 2: Convert to fraction form
    14,609.78/20,161.32 = 8,322.14/x
  3. Step 3: Cross multiply
    14,609.78x = 20,161.32 × 8,322.14
  4. Step 4: Simplify right side
    14,609.78x = 167,785,327.62
  5. Step 5: Solve for x
    x = 167,785,327.62/14,609.78
  6. Step 6: Final answer
    x = 11,484.45

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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.