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Finding the Fourth Proportional to 13,100.84, 19,629.36 and 5,694.20

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Solution

The fourth proportional to 13,100.84, 19,629.36 and 5,694.20 is: 8,531.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,100.84 : 19,629.36 = 5,694.20 : x
  2. Step 2: Convert to fraction form
    13,100.84/19,629.36 = 5,694.20/x
  3. Step 3: Cross multiply
    13,100.84x = 19,629.36 × 5,694.20
  4. Step 4: Simplify right side
    13,100.84x = 111,773,501.71
  5. Step 5: Solve for x
    x = 111,773,501.71/13,100.84
  6. Step 6: Final answer
    x = 8,531.78

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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.