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Finding the Fourth Proportional to 20,413.46, 30,627.84 and 13,901.06

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Solution

The fourth proportional to 20,413.46, 30,627.84 and 13,901.06 is: 20,856.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,413.46 : 30,627.84 = 13,901.06 : x
  2. Step 2: Convert to fraction form
    20,413.46/30,627.84 = 13,901.06/x
  3. Step 3: Cross multiply
    20,413.46x = 30,627.84 × 13,901.06
  4. Step 4: Simplify right side
    20,413.46x = 425,759,441.51
  5. Step 5: Solve for x
    x = 425,759,441.51/20,413.46
  6. Step 6: Final answer
    x = 20,856.80

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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.