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Finding the Fourth Proportional to 19,745.50, 29,622.93 and 5,894.86

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Solution

The fourth proportional to 19,745.50, 29,622.93 and 5,894.86 is: 8,843.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,745.50 : 29,622.93 = 5,894.86 : x
  2. Step 2: Convert to fraction form
    19,745.50/29,622.93 = 5,894.86/x
  3. Step 3: Cross multiply
    19,745.50x = 29,622.93 × 5,894.86
  4. Step 4: Simplify right side
    19,745.50x = 174,623,025.14
  5. Step 5: Solve for x
    x = 174,623,025.14/19,745.50
  6. Step 6: Final answer
    x = 8,843.69

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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.