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Finding the Fourth Proportional to 14,647.73, 20,211.68 and 8,902.19

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Solution

The fourth proportional to 14,647.73, 20,211.68 and 8,902.19 is: 12,283.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,647.73 : 20,211.68 = 8,902.19 : x
  2. Step 2: Convert to fraction form
    14,647.73/20,211.68 = 8,902.19/x
  3. Step 3: Cross multiply
    14,647.73x = 20,211.68 × 8,902.19
  4. Step 4: Simplify right side
    14,647.73x = 179,928,070.01
  5. Step 5: Solve for x
    x = 179,928,070.01/14,647.73
  6. Step 6: Final answer
    x = 12,283.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.