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Finding the Fourth Proportional to 13,077.66, 19,618.84 and 4,769.34

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Solution

The fourth proportional to 13,077.66, 19,618.84 and 4,769.34 is: 7,154.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,077.66 : 19,618.84 = 4,769.34 : x
  2. Step 2: Convert to fraction form
    13,077.66/19,618.84 = 4,769.34/x
  3. Step 3: Cross multiply
    13,077.66x = 19,618.84 × 4,769.34
  4. Step 4: Simplify right side
    13,077.66x = 93,568,918.37
  5. Step 5: Solve for x
    x = 93,568,918.37/13,077.66
  6. Step 6: Final answer
    x = 7,154.87

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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.