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Finding the Fourth Proportional to 20,175.52, 30,263.82 and 5,384.40

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Solution

The fourth proportional to 20,175.52, 30,263.82 and 5,384.40 is: 8,076.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,175.52 : 30,263.82 = 5,384.40 : x
  2. Step 2: Convert to fraction form
    20,175.52/30,263.82 = 5,384.40/x
  3. Step 3: Cross multiply
    20,175.52x = 30,263.82 × 5,384.40
  4. Step 4: Simplify right side
    20,175.52x = 162,952,512.41
  5. Step 5: Solve for x
    x = 162,952,512.41/20,175.52
  6. Step 6: Final answer
    x = 8,076.74

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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.