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Finding the Fourth Proportional to 22,464, 33,692.08 and 6,668.64

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Solution

The fourth proportional to 22,464, 33,692.08 and 6,668.64 is: 10,001.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,464 : 33,692.08 = 6,668.64 : x
  2. Step 2: Convert to fraction form
    22,464/33,692.08 = 6,668.64/x
  3. Step 3: Cross multiply
    22,464x = 33,692.08 × 6,668.64
  4. Step 4: Simplify right side
    22,464x = 224,680,352.37
  5. Step 5: Solve for x
    x = 224,680,352.37/22,464
  6. Step 6: Final answer
    x = 10,001.80

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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.