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Finding the Fourth Proportional to 14,428.22, 19,911.30 and 8,141

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Solution

The fourth proportional to 14,428.22, 19,911.30 and 8,141 is: 11,234.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,428.22 : 19,911.30 = 8,141 : x
  2. Step 2: Convert to fraction form
    14,428.22/19,911.30 = 8,141/x
  3. Step 3: Cross multiply
    14,428.22x = 19,911.30 × 8,141
  4. Step 4: Simplify right side
    14,428.22x = 162,097,893.30
  5. Step 5: Solve for x
    x = 162,097,893.30/14,428.22
  6. Step 6: Final answer
    x = 11,234.78

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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.