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Finding the Fourth Proportional to 12,598.02, 18,883.19 and 5,198.47

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Solution

The fourth proportional to 12,598.02, 18,883.19 and 5,198.47 is: 7,791.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,598.02 : 18,883.19 = 5,198.47 : x
  2. Step 2: Convert to fraction form
    12,598.02/18,883.19 = 5,198.47/x
  3. Step 3: Cross multiply
    12,598.02x = 18,883.19 × 5,198.47
  4. Step 4: Simplify right side
    12,598.02x = 98,163,662.51
  5. Step 5: Solve for x
    x = 98,163,662.51/12,598.02
  6. Step 6: Final answer
    x = 7,791.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.