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Finding the Fourth Proportional to 13,066.84, 19,593.06 and 6,811.24

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Solution

The fourth proportional to 13,066.84, 19,593.06 and 6,811.24 is: 10,213.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,066.84 : 19,593.06 = 6,811.24 : x
  2. Step 2: Convert to fraction form
    13,066.84/19,593.06 = 6,811.24/x
  3. Step 3: Cross multiply
    13,066.84x = 19,593.06 × 6,811.24
  4. Step 4: Simplify right side
    13,066.84x = 133,453,033.99
  5. Step 5: Solve for x
    x = 133,453,033.99/13,066.84
  6. Step 6: Final answer
    x = 10,213.11

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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.