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Finding the Fourth Proportional to 17,783.90, 26,654.54 and 8,283.41

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Solution

The fourth proportional to 17,783.90, 26,654.54 and 8,283.41 is: 12,415.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,783.90 : 26,654.54 = 8,283.41 : x
  2. Step 2: Convert to fraction form
    17,783.90/26,654.54 = 8,283.41/x
  3. Step 3: Cross multiply
    17,783.90x = 26,654.54 × 8,283.41
  4. Step 4: Simplify right side
    17,783.90x = 220,790,308.49
  5. Step 5: Solve for x
    x = 220,790,308.49/17,783.90
  6. Step 6: Final answer
    x = 12,415.18

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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.