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Finding the Fourth Proportional to 14,832.64, 20,467.20 and 8,207.36

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Solution

The fourth proportional to 14,832.64, 20,467.20 and 8,207.36 is: 11,325.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,832.64 : 20,467.20 = 8,207.36 : x
  2. Step 2: Convert to fraction form
    14,832.64/20,467.20 = 8,207.36/x
  3. Step 3: Cross multiply
    14,832.64x = 20,467.20 × 8,207.36
  4. Step 4: Simplify right side
    14,832.64x = 167,981,678.59
  5. Step 5: Solve for x
    x = 167,981,678.59/14,832.64
  6. Step 6: Final answer
    x = 11,325.14

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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.