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Finding the Fourth Proportional to 24,345.94, 36,524.38 and 7,706.96

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Solution

The fourth proportional to 24,345.94, 36,524.38 and 7,706.96 is: 11,562.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,345.94 : 36,524.38 = 7,706.96 : x
  2. Step 2: Convert to fraction form
    24,345.94/36,524.38 = 7,706.96/x
  3. Step 3: Cross multiply
    24,345.94x = 36,524.38 × 7,706.96
  4. Step 4: Simplify right side
    24,345.94x = 281,491,935.68
  5. Step 5: Solve for x
    x = 281,491,935.68/24,345.94
  6. Step 6: Final answer
    x = 11,562.17

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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.