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Finding the Fourth Proportional to 13,905.73, 19,189.65 and 7,618.06

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Solution

The fourth proportional to 13,905.73, 19,189.65 and 7,618.06 is: 10,512.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,905.73 : 19,189.65 = 7,618.06 : x
  2. Step 2: Convert to fraction form
    13,905.73/19,189.65 = 7,618.06/x
  3. Step 3: Cross multiply
    13,905.73x = 19,189.65 × 7,618.06
  4. Step 4: Simplify right side
    13,905.73x = 146,187,905.08
  5. Step 5: Solve for x
    x = 146,187,905.08/13,905.73
  6. Step 6: Final answer
    x = 10,512.78

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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.