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Finding the Fourth Proportional to 19,769.40, 29,619.90 and 10,395.48

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Solution

The fourth proportional to 19,769.40, 29,619.90 and 10,395.48 is: 15,575.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,769.40 : 29,619.90 = 10,395.48 : x
  2. Step 2: Convert to fraction form
    19,769.40/29,619.90 = 10,395.48/x
  3. Step 3: Cross multiply
    19,769.40x = 29,619.90 × 10,395.48
  4. Step 4: Simplify right side
    19,769.40x = 307,913,078.05
  5. Step 5: Solve for x
    x = 307,913,078.05/19,769.40
  6. Step 6: Final answer
    x = 15,575.24

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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.