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Finding the Fourth Proportional to 24,776.85, 37,165.23 and 7,246.65

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Solution

The fourth proportional to 24,776.85, 37,165.23 and 7,246.65 is: 10,869.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,776.85 : 37,165.23 = 7,246.65 : x
  2. Step 2: Convert to fraction form
    24,776.85/37,165.23 = 7,246.65/x
  3. Step 3: Cross multiply
    24,776.85x = 37,165.23 × 7,246.65
  4. Step 4: Simplify right side
    24,776.85x = 269,323,413.98
  5. Step 5: Solve for x
    x = 269,323,413.98/24,776.85
  6. Step 6: Final answer
    x = 10,869.96

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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.