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Finding the Fourth Proportional to 13,658.16, 18,846.81 and 7,689.36

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Solution

The fourth proportional to 13,658.16, 18,846.81 and 7,689.36 is: 10,610.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,658.16 : 18,846.81 = 7,689.36 : x
  2. Step 2: Convert to fraction form
    13,658.16/18,846.81 = 7,689.36/x
  3. Step 3: Cross multiply
    13,658.16x = 18,846.81 × 7,689.36
  4. Step 4: Simplify right side
    13,658.16x = 144,919,906.94
  5. Step 5: Solve for x
    x = 144,919,906.94/13,658.16
  6. Step 6: Final answer
    x = 10,610.50

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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.