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Finding the Fourth Proportional to 27,497.27, 37,946.22 and 14,922.02

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Solution

The fourth proportional to 27,497.27, 37,946.22 and 14,922.02 is: 20,592.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,497.27 : 37,946.22 = 14,922.02 : x
  2. Step 2: Convert to fraction form
    27,497.27/37,946.22 = 14,922.02/x
  3. Step 3: Cross multiply
    27,497.27x = 37,946.22 × 14,922.02
  4. Step 4: Simplify right side
    27,497.27x = 566,234,064.03
  5. Step 5: Solve for x
    x = 566,234,064.03/27,497.27
  6. Step 6: Final answer
    x = 20,592.38

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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.