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Finding the Fourth Proportional to 19,933.50, 27,508.96 and 12,384

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Solution

The fourth proportional to 19,933.50, 27,508.96 and 12,384 is: 17,090.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,933.50 : 27,508.96 = 12,384 : x
  2. Step 2: Convert to fraction form
    19,933.50/27,508.96 = 12,384/x
  3. Step 3: Cross multiply
    19,933.50x = 27,508.96 × 12,384
  4. Step 4: Simplify right side
    19,933.50x = 340,670,960.64
  5. Step 5: Solve for x
    x = 340,670,960.64/19,933.50
  6. Step 6: Final answer
    x = 17,090.37

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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.