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Finding the Fourth Proportional to 12,146.74, 18,222.90 and 6,302.05

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Solution

The fourth proportional to 12,146.74, 18,222.90 and 6,302.05 is: 9,454.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,146.74 : 18,222.90 = 6,302.05 : x
  2. Step 2: Convert to fraction form
    12,146.74/18,222.90 = 6,302.05/x
  3. Step 3: Cross multiply
    12,146.74x = 18,222.90 × 6,302.05
  4. Step 4: Simplify right side
    12,146.74x = 114,841,626.95
  5. Step 5: Solve for x
    x = 114,841,626.95/12,146.74
  6. Step 6: Final answer
    x = 9,454.52

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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.