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Finding the Fourth Proportional to 23,394.96, 32,283.36 and 12,782.34

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Solution

The fourth proportional to 23,394.96, 32,283.36 and 12,782.34 is: 17,638.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,394.96 : 32,283.36 = 12,782.34 : x
  2. Step 2: Convert to fraction form
    23,394.96/32,283.36 = 12,782.34/x
  3. Step 3: Cross multiply
    23,394.96x = 32,283.36 × 12,782.34
  4. Step 4: Simplify right side
    23,394.96x = 412,656,883.86
  5. Step 5: Solve for x
    x = 412,656,883.86/23,394.96
  6. Step 6: Final answer
    x = 17,638.71

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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.