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Finding the Fourth Proportional to 14,786.32, 22,186.11 and 8,033.98

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Solution

The fourth proportional to 14,786.32, 22,186.11 and 8,033.98 is: 12,054.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,786.32 : 22,186.11 = 8,033.98 : x
  2. Step 2: Convert to fraction form
    14,786.32/22,186.11 = 8,033.98/x
  3. Step 3: Cross multiply
    14,786.32x = 22,186.11 × 8,033.98
  4. Step 4: Simplify right side
    14,786.32x = 178,242,764.02
  5. Step 5: Solve for x
    x = 178,242,764.02/14,786.32
  6. Step 6: Final answer
    x = 12,054.57

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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.