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Finding the Fourth Proportional to 13,771.50, 19,003.56 and 7,804.08

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Solution

The fourth proportional to 13,771.50, 19,003.56 and 7,804.08 is: 10,769.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.50 : 19,003.56 = 7,804.08 : x
  2. Step 2: Convert to fraction form
    13,771.50/19,003.56 = 7,804.08/x
  3. Step 3: Cross multiply
    13,771.50x = 19,003.56 × 7,804.08
  4. Step 4: Simplify right side
    13,771.50x = 148,305,302.52
  5. Step 5: Solve for x
    x = 148,305,302.52/13,771.50
  6. Step 6: Final answer
    x = 10,769.00

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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.