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Finding the Fourth Proportional to 13,002.76, 19,505.10 and 3,769.48

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Solution

The fourth proportional to 13,002.76, 19,505.10 and 3,769.48 is: 5,654.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002.76 : 19,505.10 = 3,769.48 : x
  2. Step 2: Convert to fraction form
    13,002.76/19,505.10 = 3,769.48/x
  3. Step 3: Cross multiply
    13,002.76x = 19,505.10 × 3,769.48
  4. Step 4: Simplify right side
    13,002.76x = 73,524,084.35
  5. Step 5: Solve for x
    x = 73,524,084.35/13,002.76
  6. Step 6: Final answer
    x = 5,654.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.