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Finding the Fourth Proportional to 26,367.81, 39,538.94 and 9,735.68

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Solution

The fourth proportional to 26,367.81, 39,538.94 and 9,735.68 is: 14,598.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,367.81 : 39,538.94 = 9,735.68 : x
  2. Step 2: Convert to fraction form
    26,367.81/39,538.94 = 9,735.68/x
  3. Step 3: Cross multiply
    26,367.81x = 39,538.94 × 9,735.68
  4. Step 4: Simplify right side
    26,367.81x = 384,938,221.01
  5. Step 5: Solve for x
    x = 384,938,221.01/26,367.81
  6. Step 6: Final answer
    x = 14,598.79

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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.