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Finding the Fourth Proportional to 14,504.78, 20,017.86 and 8,216.75

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Solution

The fourth proportional to 14,504.78, 20,017.86 and 8,216.75 is: 11,339.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,504.78 : 20,017.86 = 8,216.75 : x
  2. Step 2: Convert to fraction form
    14,504.78/20,017.86 = 8,216.75/x
  3. Step 3: Cross multiply
    14,504.78x = 20,017.86 × 8,216.75
  4. Step 4: Simplify right side
    14,504.78x = 164,481,751.16
  5. Step 5: Solve for x
    x = 164,481,751.16/14,504.78
  6. Step 6: Final answer
    x = 11,339.83

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1.5x scale

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.