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Finding the Fourth Proportional to 13,933, 19,236.42 and 8,973.64

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Solution

The fourth proportional to 13,933, 19,236.42 and 8,973.64 is: 12,389.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,933 : 19,236.42 = 8,973.64 : x
  2. Step 2: Convert to fraction form
    13,933/19,236.42 = 8,973.64/x
  3. Step 3: Cross multiply
    13,933x = 19,236.42 × 8,973.64
  4. Step 4: Simplify right side
    13,933x = 172,620,707.97
  5. Step 5: Solve for x
    x = 172,620,707.97/13,933
  6. Step 6: Final answer
    x = 12,389.34

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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.