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Finding the Fourth Proportional to 13,771.72, 19,005.33 and 7,803.79

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Solution

The fourth proportional to 13,771.72, 19,005.33 and 7,803.79 is: 10,769.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.72 : 19,005.33 = 7,803.79 : x
  2. Step 2: Convert to fraction form
    13,771.72/19,005.33 = 7,803.79/x
  3. Step 3: Cross multiply
    13,771.72x = 19,005.33 × 7,803.79
  4. Step 4: Simplify right side
    13,771.72x = 148,313,692.86
  5. Step 5: Solve for x
    x = 148,313,692.86/13,771.72
  6. Step 6: Final answer
    x = 10,769.44

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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.