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Finding the Fourth Proportional to 12,696.60, 19,055.70 and 5,687.40

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Solution

The fourth proportional to 12,696.60, 19,055.70 and 5,687.40 is: 8,535.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,696.60 : 19,055.70 = 5,687.40 : x
  2. Step 2: Convert to fraction form
    12,696.60/19,055.70 = 5,687.40/x
  3. Step 3: Cross multiply
    12,696.60x = 19,055.70 × 5,687.40
  4. Step 4: Simplify right side
    12,696.60x = 108,377,388.18
  5. Step 5: Solve for x
    x = 108,377,388.18/12,696.60
  6. Step 6: Final answer
    x = 8,535.94

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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.