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Finding the Fourth Proportional to 14,137.24, 19,508.88 and 7,763.80

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Solution

The fourth proportional to 14,137.24, 19,508.88 and 7,763.80 is: 10,713.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,137.24 : 19,508.88 = 7,763.80 : x
  2. Step 2: Convert to fraction form
    14,137.24/19,508.88 = 7,763.80/x
  3. Step 3: Cross multiply
    14,137.24x = 19,508.88 × 7,763.80
  4. Step 4: Simplify right side
    14,137.24x = 151,463,042.54
  5. Step 5: Solve for x
    x = 151,463,042.54/14,137.24
  6. Step 6: Final answer
    x = 10,713.76

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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.