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Finding the Fourth Proportional to 16,102.46, 22,222.52 and 8,933.06

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Solution

The fourth proportional to 16,102.46, 22,222.52 and 8,933.06 is: 12,328.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.46 : 22,222.52 = 8,933.06 : x
  2. Step 2: Convert to fraction form
    16,102.46/22,222.52 = 8,933.06/x
  3. Step 3: Cross multiply
    16,102.46x = 22,222.52 × 8,933.06
  4. Step 4: Simplify right side
    16,102.46x = 198,515,104.51
  5. Step 5: Solve for x
    x = 198,515,104.51/16,102.46
  6. Step 6: Final answer
    x = 12,328.25

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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.