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Finding the Fourth Proportional to 23,257.72, 32,096.46 and 12,648.16

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Solution

The fourth proportional to 23,257.72, 32,096.46 and 12,648.16 is: 17,454.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,257.72 : 32,096.46 = 12,648.16 : x
  2. Step 2: Convert to fraction form
    23,257.72/32,096.46 = 12,648.16/x
  3. Step 3: Cross multiply
    23,257.72x = 32,096.46 × 12,648.16
  4. Step 4: Simplify right side
    23,257.72x = 405,961,161.51
  5. Step 5: Solve for x
    x = 405,961,161.51/23,257.72
  6. Step 6: Final answer
    x = 17,454.90

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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.