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Finding the Fourth Proportional to 12,064.95, 18,096.31 and 4,166.74

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Solution

The fourth proportional to 12,064.95, 18,096.31 and 4,166.74 is: 6,249.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,064.95 : 18,096.31 = 4,166.74 : x
  2. Step 2: Convert to fraction form
    12,064.95/18,096.31 = 4,166.74/x
  3. Step 3: Cross multiply
    12,064.95x = 18,096.31 × 4,166.74
  4. Step 4: Simplify right side
    12,064.95x = 75,402,646.56
  5. Step 5: Solve for x
    x = 75,402,646.56/12,064.95
  6. Step 6: Final answer
    x = 6,249.73

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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.