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Finding the Fourth Proportional to 19,704, 27,191.52 and 13,427.31

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Solution

The fourth proportional to 19,704, 27,191.52 and 13,427.31 is: 18,529.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,704 : 27,191.52 = 13,427.31 : x
  2. Step 2: Convert to fraction form
    19,704/27,191.52 = 13,427.31/x
  3. Step 3: Cross multiply
    19,704x = 27,191.52 × 13,427.31
  4. Step 4: Simplify right side
    19,704x = 365,108,968.41
  5. Step 5: Solve for x
    x = 365,108,968.41/19,704
  6. Step 6: Final answer
    x = 18,529.69

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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.