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Finding the Fourth Proportional to 26,164.68, 39,246.84 and 7,696.68

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Solution

The fourth proportional to 26,164.68, 39,246.84 and 7,696.68 is: 11,544.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,164.68 : 39,246.84 = 7,696.68 : x
  2. Step 2: Convert to fraction form
    26,164.68/39,246.84 = 7,696.68/x
  3. Step 3: Cross multiply
    26,164.68x = 39,246.84 × 7,696.68
  4. Step 4: Simplify right side
    26,164.68x = 302,070,368.49
  5. Step 5: Solve for x
    x = 302,070,368.49/26,164.68
  6. Step 6: Final answer
    x = 11,544.97

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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.