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Finding the Fourth Proportional to 17,576.82, 24,256.62 and 10,024.29

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Solution

The fourth proportional to 17,576.82, 24,256.62 and 10,024.29 is: 13,833.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,576.82 : 24,256.62 = 10,024.29 : x
  2. Step 2: Convert to fraction form
    17,576.82/24,256.62 = 10,024.29/x
  3. Step 3: Cross multiply
    17,576.82x = 24,256.62 × 10,024.29
  4. Step 4: Simplify right side
    17,576.82x = 243,155,393.30
  5. Step 5: Solve for x
    x = 243,155,393.30/17,576.82
  6. Step 6: Final answer
    x = 13,833.87

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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.