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Finding the Fourth Proportional to 23,606, 32,576.10 and 14,052.44

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Solution

The fourth proportional to 23,606, 32,576.10 and 14,052.44 is: 19,392.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,606 : 32,576.10 = 14,052.44 : x
  2. Step 2: Convert to fraction form
    23,606/32,576.10 = 14,052.44/x
  3. Step 3: Cross multiply
    23,606x = 32,576.10 × 14,052.44
  4. Step 4: Simplify right side
    23,606x = 457,773,690.68
  5. Step 5: Solve for x
    x = 457,773,690.68/23,606
  6. Step 6: Final answer
    x = 19,392.26

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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.