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Finding the Fourth Proportional to 24,792.16, 37,186.44 and 8,152

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Solution

The fourth proportional to 24,792.16, 37,186.44 and 8,152 is: 12,227.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,792.16 : 37,186.44 = 8,152 : x
  2. Step 2: Convert to fraction form
    24,792.16/37,186.44 = 8,152/x
  3. Step 3: Cross multiply
    24,792.16x = 37,186.44 × 8,152
  4. Step 4: Simplify right side
    24,792.16x = 303,143,858.88
  5. Step 5: Solve for x
    x = 303,143,858.88/24,792.16
  6. Step 6: Final answer
    x = 12,227.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.