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Finding the Fourth Proportional to 21,309.60, 31,964.46 and 9,609.15

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Solution

The fourth proportional to 21,309.60, 31,964.46 and 9,609.15 is: 14,413.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,309.60 : 31,964.46 = 9,609.15 : x
  2. Step 2: Convert to fraction form
    21,309.60/31,964.46 = 9,609.15/x
  3. Step 3: Cross multiply
    21,309.60x = 31,964.46 × 9,609.15
  4. Step 4: Simplify right side
    21,309.60x = 307,151,290.81
  5. Step 5: Solve for x
    x = 307,151,290.81/21,309.60
  6. Step 6: Final answer
    x = 14,413.75

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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.