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Finding the Fourth Proportional to 20,448.33, 30,664.72 and 9,347.23

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Solution

The fourth proportional to 20,448.33, 30,664.72 and 9,347.23 is: 14,017.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,448.33 : 30,664.72 = 9,347.23 : x
  2. Step 2: Convert to fraction form
    20,448.33/30,664.72 = 9,347.23/x
  3. Step 3: Cross multiply
    20,448.33x = 30,664.72 × 9,347.23
  4. Step 4: Simplify right side
    20,448.33x = 286,630,190.73
  5. Step 5: Solve for x
    x = 286,630,190.73/20,448.33
  6. Step 6: Final answer
    x = 14,017.29

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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.