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Finding the Fourth Proportional to 20,413.10, 30,631.31 and 7,931.51

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Solution

The fourth proportional to 20,413.10, 30,631.31 and 7,931.51 is: 11,901.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,413.10 : 30,631.31 = 7,931.51 : x
  2. Step 2: Convert to fraction form
    20,413.10/30,631.31 = 7,931.51/x
  3. Step 3: Cross multiply
    20,413.10x = 30,631.31 × 7,931.51
  4. Step 4: Simplify right side
    20,413.10x = 242,952,348.76
  5. Step 5: Solve for x
    x = 242,952,348.76/20,413.10
  6. Step 6: Final answer
    x = 11,901.79

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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.