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Finding the Fourth Proportional to 20,384, 30,576.90 and 5,592.58

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Solution

The fourth proportional to 20,384, 30,576.90 and 5,592.58 is: 8,389.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,384 : 30,576.90 = 5,592.58 : x
  2. Step 2: Convert to fraction form
    20,384/30,576.90 = 5,592.58/x
  3. Step 3: Cross multiply
    20,384x = 30,576.90 × 5,592.58
  4. Step 4: Simplify right side
    20,384x = 171,003,759.40
  5. Step 5: Solve for x
    x = 171,003,759.40/20,384
  6. Step 6: Final answer
    x = 8,389.12

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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.