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Finding the Fourth Proportional to 13,769.60, 19,002.72 and 7,800.96

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Solution

The fourth proportional to 13,769.60, 19,002.72 and 7,800.96 is: 10,765.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,769.60 : 19,002.72 = 7,800.96 : x
  2. Step 2: Convert to fraction form
    13,769.60/19,002.72 = 7,800.96/x
  3. Step 3: Cross multiply
    13,769.60x = 19,002.72 × 7,800.96
  4. Step 4: Simplify right side
    13,769.60x = 148,239,458.61
  5. Step 5: Solve for x
    x = 148,239,458.61/13,769.60
  6. Step 6: Final answer
    x = 10,765.71

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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.