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Finding the Fourth Proportional to 27,745.42, 41,624.30 and 12,946.26

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Solution

The fourth proportional to 27,745.42, 41,624.30 and 12,946.26 is: 19,422.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,745.42 : 41,624.30 = 12,946.26 : x
  2. Step 2: Convert to fraction form
    27,745.42/41,624.30 = 12,946.26/x
  3. Step 3: Cross multiply
    27,745.42x = 41,624.30 × 12,946.26
  4. Step 4: Simplify right side
    27,745.42x = 538,879,156.00
  5. Step 5: Solve for x
    x = 538,879,156.00/27,745.42
  6. Step 6: Final answer
    x = 19,422.27

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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.