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Finding the Fourth Proportional to 13,917.78, 19,206.48 and 7,630.14

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Solution

The fourth proportional to 13,917.78, 19,206.48 and 7,630.14 is: 10,529.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,917.78 : 19,206.48 = 7,630.14 : x
  2. Step 2: Convert to fraction form
    13,917.78/19,206.48 = 7,630.14/x
  3. Step 3: Cross multiply
    13,917.78x = 19,206.48 × 7,630.14
  4. Step 4: Simplify right side
    13,917.78x = 146,548,131.31
  5. Step 5: Solve for x
    x = 146,548,131.31/13,917.78
  6. Step 6: Final answer
    x = 10,529.56

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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.