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Finding the Fourth Proportional to 14,091.90, 19,446.58 and 7,804.14

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Solution

The fourth proportional to 14,091.90, 19,446.58 and 7,804.14 is: 10,769.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,091.90 : 19,446.58 = 7,804.14 : x
  2. Step 2: Convert to fraction form
    14,091.90/19,446.58 = 7,804.14/x
  3. Step 3: Cross multiply
    14,091.90x = 19,446.58 × 7,804.14
  4. Step 4: Simplify right side
    14,091.90x = 151,763,832.84
  5. Step 5: Solve for x
    x = 151,763,832.84/14,091.90
  6. Step 6: Final answer
    x = 10,769.58

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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.