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Finding the Fourth Proportional to 14,874.50, 20,525.28 and 8,906.01

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Solution

The fourth proportional to 14,874.50, 20,525.28 and 8,906.01 is: 12,289.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,874.50 : 20,525.28 = 8,906.01 : x
  2. Step 2: Convert to fraction form
    14,874.50/20,525.28 = 8,906.01/x
  3. Step 3: Cross multiply
    14,874.50x = 20,525.28 × 8,906.01
  4. Step 4: Simplify right side
    14,874.50x = 182,798,348.93
  5. Step 5: Solve for x
    x = 182,798,348.93/14,874.50
  6. Step 6: Final answer
    x = 12,289.38

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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.