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Finding the Fourth Proportional to 23,197.23, 32,012.03 and 12,586.64

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Solution

The fourth proportional to 23,197.23, 32,012.03 and 12,586.64 is: 17,369.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,197.23 : 32,012.03 = 12,586.64 : x
  2. Step 2: Convert to fraction form
    23,197.23/32,012.03 = 12,586.64/x
  3. Step 3: Cross multiply
    23,197.23x = 32,012.03 × 12,586.64
  4. Step 4: Simplify right side
    23,197.23x = 402,923,768.69
  5. Step 5: Solve for x
    x = 402,923,768.69/23,197.23
  6. Step 6: Final answer
    x = 17,369.48

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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.