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Finding the Fourth Proportional to 13,413.40, 20,100.90 and 9,875.80

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Solution

The fourth proportional to 13,413.40, 20,100.90 and 9,875.80 is: 14,799.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,413.40 : 20,100.90 = 9,875.80 : x
  2. Step 2: Convert to fraction form
    13,413.40/20,100.90 = 9,875.80/x
  3. Step 3: Cross multiply
    13,413.40x = 20,100.90 × 9,875.80
  4. Step 4: Simplify right side
    13,413.40x = 198,512,468.22
  5. Step 5: Solve for x
    x = 198,512,468.22/13,413.40
  6. Step 6: Final answer
    x = 14,799.56

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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.