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Finding the Fourth Proportional to 14,573, 20,110.74 and 7,949

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Solution

The fourth proportional to 14,573, 20,110.74 and 7,949 is: 10,969.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,573 : 20,110.74 = 7,949 : x
  2. Step 2: Convert to fraction form
    14,573/20,110.74 = 7,949/x
  3. Step 3: Cross multiply
    14,573x = 20,110.74 × 7,949
  4. Step 4: Simplify right side
    14,573x = 159,860,272.26
  5. Step 5: Solve for x
    x = 159,860,272.26/14,573
  6. Step 6: Final answer
    x = 10,969.62

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Why These Related Problems?

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