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Finding the Fourth Proportional to 23,353.40, 32,228.16 and 12,743.48

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Solution

The fourth proportional to 23,353.40, 32,228.16 and 12,743.48 is: 17,586.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,353.40 : 32,228.16 = 12,743.48 : x
  2. Step 2: Convert to fraction form
    23,353.40/32,228.16 = 12,743.48/x
  3. Step 3: Cross multiply
    23,353.40x = 32,228.16 × 12,743.48
  4. Step 4: Simplify right side
    23,353.40x = 410,698,912.40
  5. Step 5: Solve for x
    x = 410,698,912.40/23,353.40
  6. Step 6: Final answer
    x = 17,586.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.