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Finding the Fourth Proportional to 25,654.96, 38,483.84 and 8,123.48

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Solution

The fourth proportional to 25,654.96, 38,483.84 and 8,123.48 is: 12,185.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,654.96 : 38,483.84 = 8,123.48 : x
  2. Step 2: Convert to fraction form
    25,654.96/38,483.84 = 8,123.48/x
  3. Step 3: Cross multiply
    25,654.96x = 38,483.84 × 8,123.48
  4. Step 4: Simplify right side
    25,654.96x = 312,622,704.56
  5. Step 5: Solve for x
    x = 312,622,704.56/25,654.96
  6. Step 6: Final answer
    x = 12,185.66

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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.