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Finding the Fourth Proportional to 12,146.42, 18,222.06 and 4,355.84

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Solution

The fourth proportional to 12,146.42, 18,222.06 and 4,355.84 is: 6,534.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.42 : 18,222.06 = 4,355.84 : x
  2. Step 2: Convert to fraction form
    12,146.42/18,222.06 = 4,355.84/x
  3. Step 3: Cross multiply
    12,146.42x = 18,222.06 × 4,355.84
  4. Step 4: Simplify right side
    12,146.42x = 79,372,377.83
  5. Step 5: Solve for x
    x = 79,372,377.83/12,146.42
  6. Step 6: Final answer
    x = 6,534.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.