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Finding the Fourth Proportional to 23,586.56, 32,548.64 and 12,975.20

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Solution

The fourth proportional to 23,586.56, 32,548.64 and 12,975.20 is: 17,905.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,586.56 : 32,548.64 = 12,975.20 : x
  2. Step 2: Convert to fraction form
    23,586.56/32,548.64 = 12,975.20/x
  3. Step 3: Cross multiply
    23,586.56x = 32,548.64 × 12,975.20
  4. Step 4: Simplify right side
    23,586.56x = 422,325,113.73
  5. Step 5: Solve for x
    x = 422,325,113.73/23,586.56
  6. Step 6: Final answer
    x = 17,905.33

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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.