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Finding the Fourth Proportional to 27,094.24, 40,647 and 9,576.64

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Solution

The fourth proportional to 27,094.24, 40,647 and 9,576.64 is: 14,366.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,094.24 : 40,647 = 9,576.64 : x
  2. Step 2: Convert to fraction form
    27,094.24/40,647 = 9,576.64/x
  3. Step 3: Cross multiply
    27,094.24x = 40,647 × 9,576.64
  4. Step 4: Simplify right side
    27,094.24x = 389,261,686.08
  5. Step 5: Solve for x
    x = 389,261,686.08/27,094.24
  6. Step 6: Final answer
    x = 14,366.95

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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.