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Finding the Fourth Proportional to 14,091.86, 19,446.74 and 7,804.23

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Solution

The fourth proportional to 14,091.86, 19,446.74 and 7,804.23 is: 10,769.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,091.86 : 19,446.74 = 7,804.23 : x
  2. Step 2: Convert to fraction form
    14,091.86/19,446.74 = 7,804.23/x
  3. Step 3: Cross multiply
    14,091.86x = 19,446.74 × 7,804.23
  4. Step 4: Simplify right side
    14,091.86x = 151,766,792.69
  5. Step 5: Solve for x
    x = 151,766,792.69/14,091.86
  6. Step 6: Final answer
    x = 10,769.82

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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.