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Finding the Fourth Proportional to 16,102.49, 22,222.72 and 8,933.11

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Solution

The fourth proportional to 16,102.49, 22,222.72 and 8,933.11 is: 12,328.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.49 : 22,222.72 = 8,933.11 : x
  2. Step 2: Convert to fraction form
    16,102.49/22,222.72 = 8,933.11/x
  3. Step 3: Cross multiply
    16,102.49x = 22,222.72 × 8,933.11
  4. Step 4: Simplify right side
    16,102.49x = 198,518,002.26
  5. Step 5: Solve for x
    x = 198,518,002.26/16,102.49
  6. Step 6: Final answer
    x = 12,328.41

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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.