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Finding the Fourth Proportional to 23,353.34, 32,227.34 and 12,743.15

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Solution

The fourth proportional to 23,353.34, 32,227.34 and 12,743.15 is: 17,585.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,353.34 : 32,227.34 = 12,743.15 : x
  2. Step 2: Convert to fraction form
    23,353.34/32,227.34 = 12,743.15/x
  3. Step 3: Cross multiply
    23,353.34x = 32,227.34 × 12,743.15
  4. Step 4: Simplify right side
    23,353.34x = 410,677,602.87
  5. Step 5: Solve for x
    x = 410,677,602.87/23,353.34
  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.