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Finding the Fourth Proportional to 20,413.40, 30,605.72 and 9,304.79

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Solution

The fourth proportional to 20,413.40, 30,605.72 and 9,304.79 is: 13,950.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,413.40 : 30,605.72 = 9,304.79 : x
  2. Step 2: Convert to fraction form
    20,413.40/30,605.72 = 9,304.79/x
  3. Step 3: Cross multiply
    20,413.40x = 30,605.72 × 9,304.79
  4. Step 4: Simplify right side
    20,413.40x = 284,779,597.85
  5. Step 5: Solve for x
    x = 284,779,597.85/20,413.40
  6. Step 6: Final answer
    x = 13,950.62

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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.