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Finding the Fourth Proportional to 23,323.90, 32,197.76 and 13,760.54

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Solution

The fourth proportional to 23,323.90, 32,197.76 and 13,760.54 is: 18,995.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,323.90 : 32,197.76 = 13,760.54 : x
  2. Step 2: Convert to fraction form
    23,323.90/32,197.76 = 13,760.54/x
  3. Step 3: Cross multiply
    23,323.90x = 32,197.76 × 13,760.54
  4. Step 4: Simplify right side
    23,323.90x = 443,058,564.39
  5. Step 5: Solve for x
    x = 443,058,564.39/23,323.90
  6. Step 6: Final answer
    x = 18,995.90

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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.