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Finding the Fourth Proportional to 13,376.36, 20,066.16 and 6,446

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Solution

The fourth proportional to 13,376.36, 20,066.16 and 6,446 is: 9,669.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,376.36 : 20,066.16 = 6,446 : x
  2. Step 2: Convert to fraction form
    13,376.36/20,066.16 = 6,446/x
  3. Step 3: Cross multiply
    13,376.36x = 20,066.16 × 6,446
  4. Step 4: Simplify right side
    13,376.36x = 129,346,467.36
  5. Step 5: Solve for x
    x = 129,346,467.36/13,376.36
  6. Step 6: Final answer
    x = 9,669.78

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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.