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Finding the Fourth Proportional to 14,044.12, 19,379.90 and 7,756

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Solution

The fourth proportional to 14,044.12, 19,379.90 and 7,756 is: 10,702.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,044.12 : 19,379.90 = 7,756 : x
  2. Step 2: Convert to fraction form
    14,044.12/19,379.90 = 7,756/x
  3. Step 3: Cross multiply
    14,044.12x = 19,379.90 × 7,756
  4. Step 4: Simplify right side
    14,044.12x = 150,310,504.40
  5. Step 5: Solve for x
    x = 150,310,504.40/14,044.12
  6. Step 6: Final answer
    x = 10,702.74

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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.