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Finding the Fourth Proportional to 12,716.06, 19,073.07 and 5,696.46

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Solution

The fourth proportional to 12,716.06, 19,073.07 and 5,696.46 is: 8,544.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,716.06 : 19,073.07 = 5,696.46 : x
  2. Step 2: Convert to fraction form
    12,716.06/19,073.07 = 5,696.46/x
  3. Step 3: Cross multiply
    12,716.06x = 19,073.07 × 5,696.46
  4. Step 4: Simplify right side
    12,716.06x = 108,648,980.33
  5. Step 5: Solve for x
    x = 108,648,980.33/12,716.06
  6. Step 6: Final answer
    x = 8,544.24

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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.