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Finding the Fourth Proportional to 12,598.40, 18,883.71 and 5,198.81

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Solution

The fourth proportional to 12,598.40, 18,883.71 and 5,198.81 is: 7,792.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,598.40 : 18,883.71 = 5,198.81 : x
  2. Step 2: Convert to fraction form
    12,598.40/18,883.71 = 5,198.81/x
  3. Step 3: Cross multiply
    12,598.40x = 18,883.71 × 5,198.81
  4. Step 4: Simplify right side
    12,598.40x = 98,172,725.97
  5. Step 5: Solve for x
    x = 98,172,725.97/12,598.40
  6. Step 6: Final answer
    x = 7,792.47

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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.