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Finding the Fourth Proportional to 13,678.30, 18,876.18 and 7,709.44

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Solution

The fourth proportional to 13,678.30, 18,876.18 and 7,709.44 is: 10,639.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678.30 : 18,876.18 = 7,709.44 : x
  2. Step 2: Convert to fraction form
    13,678.30/18,876.18 = 7,709.44/x
  3. Step 3: Cross multiply
    13,678.30x = 18,876.18 × 7,709.44
  4. Step 4: Simplify right side
    13,678.30x = 145,524,777.14
  5. Step 5: Solve for x
    x = 145,524,777.14/13,678.30
  6. Step 6: Final answer
    x = 10,639.10

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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.