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Finding the Fourth Proportional to 17,576.37, 24,256.80 and 10,020.33

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Solution

The fourth proportional to 17,576.37, 24,256.80 and 10,020.33 is: 13,828.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,576.37 : 24,256.80 = 10,020.33 : x
  2. Step 2: Convert to fraction form
    17,576.37/24,256.80 = 10,020.33/x
  3. Step 3: Cross multiply
    17,576.37x = 24,256.80 × 10,020.33
  4. Step 4: Simplify right side
    17,576.37x = 243,061,140.74
  5. Step 5: Solve for x
    x = 243,061,140.74/17,576.37
  6. Step 6: Final answer
    x = 13,828.86

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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.