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Finding the Fourth Proportional to 13,577.14, 18,736.68 and 7,610.14

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Solution

The fourth proportional to 13,577.14, 18,736.68 and 7,610.14 is: 10,502.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,577.14 : 18,736.68 = 7,610.14 : x
  2. Step 2: Convert to fraction form
    13,577.14/18,736.68 = 7,610.14/x
  3. Step 3: Cross multiply
    13,577.14x = 18,736.68 × 7,610.14
  4. Step 4: Simplify right side
    13,577.14x = 142,588,757.94
  5. Step 5: Solve for x
    x = 142,588,757.94/13,577.14
  6. Step 6: Final answer
    x = 10,502.12

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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.