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Finding the Fourth Proportional to 24,325.91, 36,494.33 and 7,686.94

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Solution

The fourth proportional to 24,325.91, 36,494.33 and 7,686.94 is: 11,532.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,325.91 : 36,494.33 = 7,686.94 : x
  2. Step 2: Convert to fraction form
    24,325.91/36,494.33 = 7,686.94/x
  3. Step 3: Cross multiply
    24,325.91x = 36,494.33 × 7,686.94
  4. Step 4: Simplify right side
    24,325.91x = 280,529,725.05
  5. Step 5: Solve for x
    x = 280,529,725.05/24,325.91
  6. Step 6: Final answer
    x = 11,532.14

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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.