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Finding the Fourth Proportional to 13,771.05, 19,004.00 and 7,803.86

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Solution

The fourth proportional to 13,771.05, 19,004.00 and 7,803.86 is: 10,769.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.05 : 19,004.00 = 7,803.86 : x
  2. Step 2: Convert to fraction form
    13,771.05/19,004.00 = 7,803.86/x
  3. Step 3: Cross multiply
    13,771.05x = 19,004.00 × 7,803.86
  4. Step 4: Simplify right side
    13,771.05x = 148,304,516.42
  5. Step 5: Solve for x
    x = 148,304,516.42/13,771.05
  6. Step 6: Final answer
    x = 10,769.30

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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.