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Finding the Fourth Proportional to 10,223.64, 14,122.62 and 8,668.44

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Solution

The fourth proportional to 10,223.64, 14,122.62 and 8,668.44 is: 11,974.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223.64 : 14,122.62 = 8,668.44 : x
  2. Step 2: Convert to fraction form
    10,223.64/14,122.62 = 8,668.44/x
  3. Step 3: Cross multiply
    10,223.64x = 14,122.62 × 8,668.44
  4. Step 4: Simplify right side
    10,223.64x = 122,421,084.11
  5. Step 5: Solve for x
    x = 122,421,084.11/10,223.64
  6. Step 6: Final answer
    x = 11,974.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.