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Finding the Fourth Proportional to 20,277.84, 30,413.04 and 5,487.96

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Solution

The fourth proportional to 20,277.84, 30,413.04 and 5,487.96 is: 8,230.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,277.84 : 30,413.04 = 5,487.96 : x
  2. Step 2: Convert to fraction form
    20,277.84/30,413.04 = 5,487.96/x
  3. Step 3: Cross multiply
    20,277.84x = 30,413.04 × 5,487.96
  4. Step 4: Simplify right side
    20,277.84x = 166,905,547.00
  5. Step 5: Solve for x
    x = 166,905,547.00/20,277.84
  6. Step 6: Final answer
    x = 8,230.93

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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.