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Finding the Fourth Proportional to 26,509.41, 39,749.10 and 8,735.31

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Solution

The fourth proportional to 26,509.41, 39,749.10 and 8,735.31 is: 13,098.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,509.41 : 39,749.10 = 8,735.31 : x
  2. Step 2: Convert to fraction form
    26,509.41/39,749.10 = 8,735.31/x
  3. Step 3: Cross multiply
    26,509.41x = 39,749.10 × 8,735.31
  4. Step 4: Simplify right side
    26,509.41x = 347,220,677.96
  5. Step 5: Solve for x
    x = 347,220,677.96/26,509.41
  6. Step 6: Final answer
    x = 13,098.02

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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.