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Finding the Fourth Proportional to 22,518, 33,783.48 and 6,935.22

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Solution

The fourth proportional to 22,518, 33,783.48 and 6,935.22 is: 10,404.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,518 : 33,783.48 = 6,935.22 : x
  2. Step 2: Convert to fraction form
    22,518/33,783.48 = 6,935.22/x
  3. Step 3: Cross multiply
    22,518x = 33,783.48 × 6,935.22
  4. Step 4: Simplify right side
    22,518x = 234,295,866.17
  5. Step 5: Solve for x
    x = 234,295,866.17/22,518
  6. Step 6: Final answer
    x = 10,404.83

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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.