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Finding the Fourth Proportional to 12,911.80, 19,367.70 and 9,412.60

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Solution

The fourth proportional to 12,911.80, 19,367.70 and 9,412.60 is: 14,118.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,911.80 : 19,367.70 = 9,412.60 : x
  2. Step 2: Convert to fraction form
    12,911.80/19,367.70 = 9,412.60/x
  3. Step 3: Cross multiply
    12,911.80x = 19,367.70 × 9,412.60
  4. Step 4: Simplify right side
    12,911.80x = 182,300,413.02
  5. Step 5: Solve for x
    x = 182,300,413.02/12,911.80
  6. Step 6: Final answer
    x = 14,118.90

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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.