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Finding the Fourth Proportional to 26,309.54, 39,438.66 and 10,509.86

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Solution

The fourth proportional to 26,309.54, 39,438.66 and 10,509.86 is: 15,754.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,309.54 : 39,438.66 = 10,509.86 : x
  2. Step 2: Convert to fraction form
    26,309.54/39,438.66 = 10,509.86/x
  3. Step 3: Cross multiply
    26,309.54x = 39,438.66 × 10,509.86
  4. Step 4: Simplify right side
    26,309.54x = 414,494,795.19
  5. Step 5: Solve for x
    x = 414,494,795.19/26,309.54
  6. Step 6: Final answer
    x = 15,754.54

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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.