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Finding the Fourth Proportional to 12,696.24, 19,047.40 and 5,296.59

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Solution

The fourth proportional to 12,696.24, 19,047.40 and 5,296.59 is: 7,946.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,696.24 : 19,047.40 = 5,296.59 : x
  2. Step 2: Convert to fraction form
    12,696.24/19,047.40 = 5,296.59/x
  3. Step 3: Cross multiply
    12,696.24x = 19,047.40 × 5,296.59
  4. Step 4: Simplify right side
    12,696.24x = 100,886,284.92
  5. Step 5: Solve for x
    x = 100,886,284.92/12,696.24
  6. Step 6: Final answer
    x = 7,946.15

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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.