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Finding the Fourth Proportional to 36,709.14, 55,068.30 and 10,413.84

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Solution

The fourth proportional to 36,709.14, 55,068.30 and 10,413.84 is: 15,622.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,709.14 : 55,068.30 = 10,413.84 : x
  2. Step 2: Convert to fraction form
    36,709.14/55,068.30 = 10,413.84/x
  3. Step 3: Cross multiply
    36,709.14x = 55,068.30 × 10,413.84
  4. Step 4: Simplify right side
    36,709.14x = 573,472,465.27
  5. Step 5: Solve for x
    x = 573,472,465.27/36,709.14
  6. Step 6: Final answer
    x = 15,622.06

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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.