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Finding the Fourth Proportional to 23,353.14, 32,227.42 and 12,743

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Solution

The fourth proportional to 23,353.14, 32,227.42 and 12,743 is: 17,585.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,353.14 : 32,227.42 = 12,743 : x
  2. Step 2: Convert to fraction form
    23,353.14/32,227.42 = 12,743/x
  3. Step 3: Cross multiply
    23,353.14x = 32,227.42 × 12,743
  4. Step 4: Simplify right side
    23,353.14x = 410,674,013.06
  5. Step 5: Solve for x
    x = 410,674,013.06/23,353.14
  6. Step 6: Final answer
    x = 17,585.39

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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.