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Finding the Fourth Proportional to 30,576.65, 42,195.26 and 17,837.24

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Solution

The fourth proportional to 30,576.65, 42,195.26 and 17,837.24 is: 24,615.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,576.65 : 42,195.26 = 17,837.24 : x
  2. Step 2: Convert to fraction form
    30,576.65/42,195.26 = 17,837.24/x
  3. Step 3: Cross multiply
    30,576.65x = 42,195.26 × 17,837.24
  4. Step 4: Simplify right side
    30,576.65x = 752,646,813.10
  5. Step 5: Solve for x
    x = 752,646,813.10/30,576.65
  6. Step 6: Final answer
    x = 24,615.09

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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.