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Finding the Fourth Proportional to 20,578.88, 30,859.68 and 8,097

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Solution

The fourth proportional to 20,578.88, 30,859.68 and 8,097 is: 12,142.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,578.88 : 30,859.68 = 8,097 : x
  2. Step 2: Convert to fraction form
    20,578.88/30,859.68 = 8,097/x
  3. Step 3: Cross multiply
    20,578.88x = 30,859.68 × 8,097
  4. Step 4: Simplify right side
    20,578.88x = 249,870,828.96
  5. Step 5: Solve for x
    x = 249,870,828.96/20,578.88
  6. Step 6: Final answer
    x = 12,142.10

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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.