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Finding the Fourth Proportional to 14,640.88, 21,910.29 and 11,977.60

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Solution

The fourth proportional to 14,640.88, 21,910.29 and 11,977.60 is: 17,924.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,640.88 : 21,910.29 = 11,977.60 : x
  2. Step 2: Convert to fraction form
    14,640.88/21,910.29 = 11,977.60/x
  3. Step 3: Cross multiply
    14,640.88x = 21,910.29 × 11,977.60
  4. Step 4: Simplify right side
    14,640.88x = 262,432,689.50
  5. Step 5: Solve for x
    x = 262,432,689.50/14,640.88
  6. Step 6: Final answer
    x = 17,924.65

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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.