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Finding the Fourth Proportional to 14,745.88, 20,351.94 and 8,781

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Solution

The fourth proportional to 14,745.88, 20,351.94 and 8,781 is: 12,119.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,745.88 : 20,351.94 = 8,781 : x
  2. Step 2: Convert to fraction form
    14,745.88/20,351.94 = 8,781/x
  3. Step 3: Cross multiply
    14,745.88x = 20,351.94 × 8,781
  4. Step 4: Simplify right side
    14,745.88x = 178,710,385.14
  5. Step 5: Solve for x
    x = 178,710,385.14/14,745.88
  6. Step 6: Final answer
    x = 12,119.34

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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.