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Finding the Fourth Proportional to 14,091.32, 19,446.62 and 7,803.69

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Solution

The fourth proportional to 14,091.32, 19,446.62 and 7,803.69 is: 10,769.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,091.32 : 19,446.62 = 7,803.69 : x
  2. Step 2: Convert to fraction form
    14,091.32/19,446.62 = 7,803.69/x
  3. Step 3: Cross multiply
    14,091.32x = 19,446.62 × 7,803.69
  4. Step 4: Simplify right side
    14,091.32x = 151,755,394.03
  5. Step 5: Solve for x
    x = 151,755,394.03/14,091.32
  6. Step 6: Final answer
    x = 10,769.42

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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.