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Finding the Fourth Proportional to 27,285.66, 40,928.49 and 8,567.34

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Solution

The fourth proportional to 27,285.66, 40,928.49 and 8,567.34 is: 12,851.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,285.66 : 40,928.49 = 8,567.34 : x
  2. Step 2: Convert to fraction form
    27,285.66/40,928.49 = 8,567.34/x
  3. Step 3: Cross multiply
    27,285.66x = 40,928.49 × 8,567.34
  4. Step 4: Simplify right side
    27,285.66x = 350,648,481.37
  5. Step 5: Solve for x
    x = 350,648,481.37/27,285.66
  6. Step 6: Final answer
    x = 12,851.02

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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.