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Finding the Fourth Proportional to 13,905.31, 19,189.80 and 7,618.09

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Solution

The fourth proportional to 13,905.31, 19,189.80 and 7,618.09 is: 10,513.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,905.31 : 19,189.80 = 7,618.09 : x
  2. Step 2: Convert to fraction form
    13,905.31/19,189.80 = 7,618.09/x
  3. Step 3: Cross multiply
    13,905.31x = 19,189.80 × 7,618.09
  4. Step 4: Simplify right side
    13,905.31x = 146,189,623.48
  5. Step 5: Solve for x
    x = 146,189,623.48/13,905.31
  6. Step 6: Final answer
    x = 10,513.22

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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.