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Finding the Fourth Proportional to 27,425.74, 41,142.02 and 9,652.20

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Solution

The fourth proportional to 27,425.74, 41,142.02 and 9,652.20 is: 14,479.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,425.74 : 41,142.02 = 9,652.20 : x
  2. Step 2: Convert to fraction form
    27,425.74/41,142.02 = 9,652.20/x
  3. Step 3: Cross multiply
    27,425.74x = 41,142.02 × 9,652.20
  4. Step 4: Simplify right side
    27,425.74x = 397,111,005.44
  5. Step 5: Solve for x
    x = 397,111,005.44/27,425.74
  6. Step 6: Final answer
    x = 14,479.50

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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.