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Finding the Fourth Proportional to 27,725.70, 41,610.42 and 12,927

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Solution

The fourth proportional to 27,725.70, 41,610.42 and 12,927 is: 19,400.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,725.70 : 41,610.42 = 12,927 : x
  2. Step 2: Convert to fraction form
    27,725.70/41,610.42 = 12,927/x
  3. Step 3: Cross multiply
    27,725.70x = 41,610.42 × 12,927
  4. Step 4: Simplify right side
    27,725.70x = 537,897,899.34
  5. Step 5: Solve for x
    x = 537,897,899.34/27,725.70
  6. Step 6: Final answer
    x = 19,400.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.