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Finding the Fourth Proportional to 14,734.98, 20,330.19 and 8,446.14

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Solution

The fourth proportional to 14,734.98, 20,330.19 and 8,446.14 is: 11,653.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,734.98 : 20,330.19 = 8,446.14 : x
  2. Step 2: Convert to fraction form
    14,734.98/20,330.19 = 8,446.14/x
  3. Step 3: Cross multiply
    14,734.98x = 20,330.19 × 8,446.14
  4. Step 4: Simplify right side
    14,734.98x = 171,711,630.97
  5. Step 5: Solve for x
    x = 171,711,630.97/14,734.98
  6. Step 6: Final answer
    x = 11,653.33

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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.