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Finding the Fourth Proportional to 13,413.01, 20,126.22 and 6,022.75

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Solution

The fourth proportional to 13,413.01, 20,126.22 and 6,022.75 is: 9,037.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,413.01 : 20,126.22 = 6,022.75 : x
  2. Step 2: Convert to fraction form
    13,413.01/20,126.22 = 6,022.75/x
  3. Step 3: Cross multiply
    13,413.01x = 20,126.22 × 6,022.75
  4. Step 4: Simplify right side
    13,413.01x = 121,215,191.51
  5. Step 5: Solve for x
    x = 121,215,191.51/13,413.01
  6. Step 6: Final answer
    x = 9,037.14

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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.