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Finding the Fourth Proportional to 20,993.16, 31,494.60 and 6,952.64

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Solution

The fourth proportional to 20,993.16, 31,494.60 and 6,952.64 is: 10,430.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,993.16 : 31,494.60 = 6,952.64 : x
  2. Step 2: Convert to fraction form
    20,993.16/31,494.60 = 6,952.64/x
  3. Step 3: Cross multiply
    20,993.16x = 31,494.60 × 6,952.64
  4. Step 4: Simplify right side
    20,993.16x = 218,970,615.74
  5. Step 5: Solve for x
    x = 218,970,615.74/20,993.16
  6. Step 6: Final answer
    x = 10,430.57

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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.