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Finding the Fourth Proportional to 26,544.04, 39,822 and 7,823.86

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Solution

The fourth proportional to 26,544.04, 39,822 and 7,823.86 is: 11,737.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,544.04 : 39,822 = 7,823.86 : x
  2. Step 2: Convert to fraction form
    26,544.04/39,822 = 7,823.86/x
  3. Step 3: Cross multiply
    26,544.04x = 39,822 × 7,823.86
  4. Step 4: Simplify right side
    26,544.04x = 311,561,752.92
  5. Step 5: Solve for x
    x = 311,561,752.92/26,544.04
  6. Step 6: Final answer
    x = 11,737.54

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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.