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Finding the Fourth Proportional to 13,278.54, 19,930.11 and 6,709.35

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Solution

The fourth proportional to 13,278.54, 19,930.11 and 6,709.35 is: 10,070.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,278.54 : 19,930.11 = 6,709.35 : x
  2. Step 2: Convert to fraction form
    13,278.54/19,930.11 = 6,709.35/x
  3. Step 3: Cross multiply
    13,278.54x = 19,930.11 × 6,709.35
  4. Step 4: Simplify right side
    13,278.54x = 133,717,983.88
  5. Step 5: Solve for x
    x = 133,717,983.88/13,278.54
  6. Step 6: Final answer
    x = 10,070.24

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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.