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Finding the Fourth Proportional to 25,536.69, 38,305.04 and 6,816.79

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Solution

The fourth proportional to 25,536.69, 38,305.04 and 6,816.79 is: 10,225.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,536.69 : 38,305.04 = 6,816.79 : x
  2. Step 2: Convert to fraction form
    25,536.69/38,305.04 = 6,816.79/x
  3. Step 3: Cross multiply
    25,536.69x = 38,305.04 × 6,816.79
  4. Step 4: Simplify right side
    25,536.69x = 261,117,413.62
  5. Step 5: Solve for x
    x = 261,117,413.62/25,536.69
  6. Step 6: Final answer
    x = 10,225.19

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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.