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Finding the Fourth Proportional to 22,448.75, 33,668.60 and 7,649.64

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Solution

The fourth proportional to 22,448.75, 33,668.60 and 7,649.64 is: 11,472.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,448.75 : 33,668.60 = 7,649.64 : x
  2. Step 2: Convert to fraction form
    22,448.75/33,668.60 = 7,649.64/x
  3. Step 3: Cross multiply
    22,448.75x = 33,668.60 × 7,649.64
  4. Step 4: Simplify right side
    22,448.75x = 257,552,631.06
  5. Step 5: Solve for x
    x = 257,552,631.06/22,448.75
  6. Step 6: Final answer
    x = 11,472.92

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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.