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Finding the Fourth Proportional to 26,448.62, 39,678.07 and 7,728.74

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Solution

The fourth proportional to 26,448.62, 39,678.07 and 7,728.74 is: 11,594.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,448.62 : 39,678.07 = 7,728.74 : x
  2. Step 2: Convert to fraction form
    26,448.62/39,678.07 = 7,728.74/x
  3. Step 3: Cross multiply
    26,448.62x = 39,678.07 × 7,728.74
  4. Step 4: Simplify right side
    26,448.62x = 306,661,566.61
  5. Step 5: Solve for x
    x = 306,661,566.61/26,448.62
  6. Step 6: Final answer
    x = 11,594.62

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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.