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Finding the Fourth Proportional to 14,576.43, 21,886.53 and 8,343.48

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Solution

The fourth proportional to 14,576.43, 21,886.53 and 8,343.48 is: 12,527.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,576.43 : 21,886.53 = 8,343.48 : x
  2. Step 2: Convert to fraction form
    14,576.43/21,886.53 = 8,343.48/x
  3. Step 3: Cross multiply
    14,576.43x = 21,886.53 × 8,343.48
  4. Step 4: Simplify right side
    14,576.43x = 182,609,825.32
  5. Step 5: Solve for x
    x = 182,609,825.32/14,576.43
  6. Step 6: Final answer
    x = 12,527.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.