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Finding the Fourth Proportional to 26,338.93, 39,489.94 and 9,696.80

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Solution

The fourth proportional to 26,338.93, 39,489.94 and 9,696.80 is: 14,538.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,338.93 : 39,489.94 = 9,696.80 : x
  2. Step 2: Convert to fraction form
    26,338.93/39,489.94 = 9,696.80/x
  3. Step 3: Cross multiply
    26,338.93x = 39,489.94 × 9,696.80
  4. Step 4: Simplify right side
    26,338.93x = 382,926,050.19
  5. Step 5: Solve for x
    x = 382,926,050.19/26,338.93
  6. Step 6: Final answer
    x = 14,538.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.