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Finding the Fourth Proportional to 26,506.35, 39,759.50 and 6,784.87

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Solution

The fourth proportional to 26,506.35, 39,759.50 and 6,784.87 is: 10,177.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,506.35 : 39,759.50 = 6,784.87 : x
  2. Step 2: Convert to fraction form
    26,506.35/39,759.50 = 6,784.87/x
  3. Step 3: Cross multiply
    26,506.35x = 39,759.50 × 6,784.87
  4. Step 4: Simplify right side
    26,506.35x = 269,763,004.84
  5. Step 5: Solve for x
    x = 269,763,004.84/26,506.35
  6. Step 6: Final answer
    x = 10,177.30

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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.