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Finding the Fourth Proportional to 19,102.24, 28,654.76 and 7,997.76

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Solution

The fourth proportional to 19,102.24, 28,654.76 and 7,997.76 is: 11,997.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,102.24 : 28,654.76 = 7,997.76 : x
  2. Step 2: Convert to fraction form
    19,102.24/28,654.76 = 7,997.76/x
  3. Step 3: Cross multiply
    19,102.24x = 28,654.76 × 7,997.76
  4. Step 4: Simplify right side
    19,102.24x = 229,173,893.34
  5. Step 5: Solve for x
    x = 229,173,893.34/19,102.24
  6. Step 6: Final answer
    x = 11,997.23

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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.