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Finding the Fourth Proportional to 18,920.25, 28,384.02 and 8,532

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Solution

The fourth proportional to 18,920.25, 28,384.02 and 8,532 is: 12,799.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,920.25 : 28,384.02 = 8,532 : x
  2. Step 2: Convert to fraction form
    18,920.25/28,384.02 = 8,532/x
  3. Step 3: Cross multiply
    18,920.25x = 28,384.02 × 8,532
  4. Step 4: Simplify right side
    18,920.25x = 242,172,458.64
  5. Step 5: Solve for x
    x = 242,172,458.64/18,920.25
  6. Step 6: Final answer
    x = 12,799.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.