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Finding the Fourth Proportional to 13,580.28, 18,740.79 and 7,918.29

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Solution

The fourth proportional to 13,580.28, 18,740.79 and 7,918.29 is: 10,927.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,580.28 : 18,740.79 = 7,918.29 : x
  2. Step 2: Convert to fraction form
    13,580.28/18,740.79 = 7,918.29/x
  3. Step 3: Cross multiply
    13,580.28x = 18,740.79 × 7,918.29
  4. Step 4: Simplify right side
    13,580.28x = 148,395,010.05
  5. Step 5: Solve for x
    x = 148,395,010.05/13,580.28
  6. Step 6: Final answer
    x = 10,927.24

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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.