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Finding the Fourth Proportional to 23,253.72, 32,090.94 and 12,644.16

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Solution

The fourth proportional to 23,253.72, 32,090.94 and 12,644.16 is: 17,449.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,253.72 : 32,090.94 = 12,644.16 : x
  2. Step 2: Convert to fraction form
    23,253.72/32,090.94 = 12,644.16/x
  3. Step 3: Cross multiply
    23,253.72x = 32,090.94 × 12,644.16
  4. Step 4: Simplify right side
    23,253.72x = 405,762,979.91
  5. Step 5: Solve for x
    x = 405,762,979.91/23,253.72
  6. Step 6: Final answer
    x = 17,449.38

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Why These Related Problems?

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