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Finding the Fourth Proportional to 24,563.83, 36,852.91 and 7,923.49

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Solution

The fourth proportional to 24,563.83, 36,852.91 and 7,923.49 is: 11,887.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,563.83 : 36,852.91 = 7,923.49 : x
  2. Step 2: Convert to fraction form
    24,563.83/36,852.91 = 7,923.49/x
  3. Step 3: Cross multiply
    24,563.83x = 36,852.91 × 7,923.49
  4. Step 4: Simplify right side
    24,563.83x = 292,003,591.53
  5. Step 5: Solve for x
    x = 292,003,591.53/24,563.83
  6. Step 6: Final answer
    x = 11,887.55

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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.