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Finding the Fourth Proportional to 14,514.03, 20,028.60 and 8,226

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Solution

The fourth proportional to 14,514.03, 20,028.60 and 8,226 is: 11,351.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,514.03 : 20,028.60 = 8,226 : x
  2. Step 2: Convert to fraction form
    14,514.03/20,028.60 = 8,226/x
  3. Step 3: Cross multiply
    14,514.03x = 20,028.60 × 8,226
  4. Step 4: Simplify right side
    14,514.03x = 164,755,263.60
  5. Step 5: Solve for x
    x = 164,755,263.60/14,514.03
  6. Step 6: Final answer
    x = 11,351.45

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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.