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Finding the Fourth Proportional to 12,497.25, 18,755.15 and 5,923.45

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Solution

The fourth proportional to 12,497.25, 18,755.15 and 5,923.45 is: 8,889.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,497.25 : 18,755.15 = 5,923.45 : x
  2. Step 2: Convert to fraction form
    12,497.25/18,755.15 = 5,923.45/x
  3. Step 3: Cross multiply
    12,497.25x = 18,755.15 × 5,923.45
  4. Step 4: Simplify right side
    12,497.25x = 111,095,193.27
  5. Step 5: Solve for x
    x = 111,095,193.27/12,497.25
  6. Step 6: Final answer
    x = 8,889.57

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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.