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Finding the Fourth Proportional to 16,101.23, 22,220.84 and 8,933.50

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Solution

The fourth proportional to 16,101.23, 22,220.84 and 8,933.50 is: 12,328.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,101.23 : 22,220.84 = 8,933.50 : x
  2. Step 2: Convert to fraction form
    16,101.23/22,220.84 = 8,933.50/x
  3. Step 3: Cross multiply
    16,101.23x = 22,220.84 × 8,933.50
  4. Step 4: Simplify right side
    16,101.23x = 198,509,840.92
  5. Step 5: Solve for x
    x = 198,509,840.92/16,101.23
  6. Step 6: Final answer
    x = 12,328.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.