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Finding the Fourth Proportional to 14,118.03, 19,481.99 and 7,830

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Solution

The fourth proportional to 14,118.03, 19,481.99 and 7,830 is: 10,804.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,118.03 : 19,481.99 = 7,830 : x
  2. Step 2: Convert to fraction form
    14,118.03/19,481.99 = 7,830/x
  3. Step 3: Cross multiply
    14,118.03x = 19,481.99 × 7,830
  4. Step 4: Simplify right side
    14,118.03x = 152,543,942.55
  5. Step 5: Solve for x
    x = 152,543,942.55/14,118.03
  6. Step 6: Final answer
    x = 10,804.90

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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.