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Finding the Fourth Proportional to 12,148.34, 16,765.44 and 8,108.24

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Solution

The fourth proportional to 12,148.34, 16,765.44 and 8,108.24 is: 11,189.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,148.34 : 16,765.44 = 8,108.24 : x
  2. Step 2: Convert to fraction form
    12,148.34/16,765.44 = 8,108.24/x
  3. Step 3: Cross multiply
    12,148.34x = 16,765.44 × 8,108.24
  4. Step 4: Simplify right side
    12,148.34x = 135,938,211.23
  5. Step 5: Solve for x
    x = 135,938,211.23/12,148.34
  6. Step 6: Final answer
    x = 11,189.86

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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.