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Finding the Fourth Proportional to 14,734.18, 20,333.91 and 8,446.54

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Solution

The fourth proportional to 14,734.18, 20,333.91 and 8,446.54 is: 11,656.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,734.18 : 20,333.91 = 8,446.54 : x
  2. Step 2: Convert to fraction form
    14,734.18/20,333.91 = 8,446.54/x
  3. Step 3: Cross multiply
    14,734.18x = 20,333.91 × 8,446.54
  4. Step 4: Simplify right side
    14,734.18x = 171,751,184.17
  5. Step 5: Solve for x
    x = 171,751,184.17/14,734.18
  6. Step 6: Final answer
    x = 11,656.65

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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.