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Finding the Fourth Proportional to 12,814.08, 17,673.48 and 8,096.64

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Solution

The fourth proportional to 12,814.08, 17,673.48 and 8,096.64 is: 11,167.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.08 : 17,673.48 = 8,096.64 : x
  2. Step 2: Convert to fraction form
    12,814.08/17,673.48 = 8,096.64/x
  3. Step 3: Cross multiply
    12,814.08x = 17,673.48 × 8,096.64
  4. Step 4: Simplify right side
    12,814.08x = 143,095,805.11
  5. Step 5: Solve for x
    x = 143,095,805.11/12,814.08
  6. Step 6: Final answer
    x = 11,167.08

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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.