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Finding the Fourth Proportional to 21,141.72, 31,709.84 and 7,992.38

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Solution

The fourth proportional to 21,141.72, 31,709.84 and 7,992.38 is: 11,987.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,141.72 : 31,709.84 = 7,992.38 : x
  2. Step 2: Convert to fraction form
    21,141.72/31,709.84 = 7,992.38/x
  3. Step 3: Cross multiply
    21,141.72x = 31,709.84 × 7,992.38
  4. Step 4: Simplify right side
    21,141.72x = 253,436,892.51
  5. Step 5: Solve for x
    x = 253,436,892.51/21,141.72
  6. Step 6: Final answer
    x = 11,987.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.