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Finding the Fourth Proportional to 14,874.77, 20,525.88 and 8,500.09

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Solution

The fourth proportional to 14,874.77, 20,525.88 and 8,500.09 is: 11,729.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,874.77 : 20,525.88 = 8,500.09 : x
  2. Step 2: Convert to fraction form
    14,874.77/20,525.88 = 8,500.09/x
  3. Step 3: Cross multiply
    14,874.77x = 20,525.88 × 8,500.09
  4. Step 4: Simplify right side
    14,874.77x = 174,471,827.33
  5. Step 5: Solve for x
    x = 174,471,827.33/14,874.77
  6. Step 6: Final answer
    x = 11,729.38

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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.