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Finding the Fourth Proportional to 14,734.65, 20,333.69 and 8,446.89

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Solution

The fourth proportional to 14,734.65, 20,333.69 and 8,446.89 is: 11,656.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,734.65 : 20,333.69 = 8,446.89 : x
  2. Step 2: Convert to fraction form
    14,734.65/20,333.69 = 8,446.89/x
  3. Step 3: Cross multiply
    14,734.65x = 20,333.69 × 8,446.89
  4. Step 4: Simplify right side
    14,734.65x = 171,756,400.49
  5. Step 5: Solve for x
    x = 171,756,400.49/14,734.65
  6. Step 6: Final answer
    x = 11,656.63

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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.