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Finding the Fourth Proportional to 26,155.50, 39,250.89 and 9,739.50

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Solution

The fourth proportional to 26,155.50, 39,250.89 and 9,739.50 is: 14,615.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,155.50 : 39,250.89 = 9,739.50 : x
  2. Step 2: Convert to fraction form
    26,155.50/39,250.89 = 9,739.50/x
  3. Step 3: Cross multiply
    26,155.50x = 39,250.89 × 9,739.50
  4. Step 4: Simplify right side
    26,155.50x = 382,284,043.16
  5. Step 5: Solve for x
    x = 382,284,043.16/26,155.50
  6. Step 6: Final answer
    x = 14,615.82

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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.