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Finding the Fourth Proportional to 20,097.40, 30,103.56 and 12,698.08

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Solution

The fourth proportional to 20,097.40, 30,103.56 and 12,698.08 is: 19,020.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,097.40 : 30,103.56 = 12,698.08 : x
  2. Step 2: Convert to fraction form
    20,097.40/30,103.56 = 12,698.08/x
  3. Step 3: Cross multiply
    20,097.40x = 30,103.56 × 12,698.08
  4. Step 4: Simplify right side
    20,097.40x = 382,257,413.16
  5. Step 5: Solve for x
    x = 382,257,413.16/20,097.40
  6. Step 6: Final answer
    x = 19,020.24

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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.