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Finding the Fourth Proportional to 14,064.25, 21,096.57 and 3,676

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Solution

The fourth proportional to 14,064.25, 21,096.57 and 3,676 is: 5,514.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,064.25 : 21,096.57 = 3,676 : x
  2. Step 2: Convert to fraction form
    14,064.25/21,096.57 = 3,676/x
  3. Step 3: Cross multiply
    14,064.25x = 21,096.57 × 3,676
  4. Step 4: Simplify right side
    14,064.25x = 77,550,991.32
  5. Step 5: Solve for x
    x = 77,550,991.32/14,064.25
  6. Step 6: Final answer
    x = 5,514.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.