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Finding the Fourth Proportional to 19,660.81, 29,491.37 and 6,513.10

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Solution

The fourth proportional to 19,660.81, 29,491.37 and 6,513.10 is: 9,769.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,660.81 : 29,491.37 = 6,513.10 : x
  2. Step 2: Convert to fraction form
    19,660.81/29,491.37 = 6,513.10/x
  3. Step 3: Cross multiply
    19,660.81x = 29,491.37 × 6,513.10
  4. Step 4: Simplify right side
    19,660.81x = 192,080,241.95
  5. Step 5: Solve for x
    x = 192,080,241.95/19,660.81
  6. Step 6: Final answer
    x = 9,769.70

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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.