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Finding the Fourth Proportional to 14,137.74, 19,512.09 and 8,172.90

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Solution

The fourth proportional to 14,137.74, 19,512.09 and 8,172.90 is: 11,279.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,137.74 : 19,512.09 = 8,172.90 : x
  2. Step 2: Convert to fraction form
    14,137.74/19,512.09 = 8,172.90/x
  3. Step 3: Cross multiply
    14,137.74x = 19,512.09 × 8,172.90
  4. Step 4: Simplify right side
    14,137.74x = 159,470,360.36
  5. Step 5: Solve for x
    x = 159,470,360.36/14,137.74
  6. Step 6: Final answer
    x = 11,279.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.