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Finding the Fourth Proportional to 16,102.93, 22,222.03 and 8,933.93

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Solution

The fourth proportional to 16,102.93, 22,222.03 and 8,933.93 is: 12,328.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.93 : 22,222.03 = 8,933.93 : x
  2. Step 2: Convert to fraction form
    16,102.93/22,222.03 = 8,933.93/x
  3. Step 3: Cross multiply
    16,102.93x = 22,222.03 × 8,933.93
  4. Step 4: Simplify right side
    16,102.93x = 198,530,071.36
  5. Step 5: Solve for x
    x = 198,530,071.36/16,102.93
  6. Step 6: Final answer
    x = 12,328.82

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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.