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Finding the Fourth Proportional to 13,278.36, 19,906.56 and 7,354.98

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Solution

The fourth proportional to 13,278.36, 19,906.56 and 7,354.98 is: 11,026.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,278.36 : 19,906.56 = 7,354.98 : x
  2. Step 2: Convert to fraction form
    13,278.36/19,906.56 = 7,354.98/x
  3. Step 3: Cross multiply
    13,278.36x = 19,906.56 × 7,354.98
  4. Step 4: Simplify right side
    13,278.36x = 146,412,350.67
  5. Step 5: Solve for x
    x = 146,412,350.67/13,278.36
  6. Step 6: Final answer
    x = 11,026.39

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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.