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Finding the Fourth Proportional to 14,091.70, 19,446.51 and 7,804.30

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Solution

The fourth proportional to 14,091.70, 19,446.51 and 7,804.30 is: 10,769.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,091.70 : 19,446.51 = 7,804.30 : x
  2. Step 2: Convert to fraction form
    14,091.70/19,446.51 = 7,804.30/x
  3. Step 3: Cross multiply
    14,091.70x = 19,446.51 × 7,804.30
  4. Step 4: Simplify right side
    14,091.70x = 151,766,397.99
  5. Step 5: Solve for x
    x = 151,766,397.99/14,091.70
  6. Step 6: Final answer
    x = 10,769.91

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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.