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Finding the Fourth Proportional to 13,607.25, 18,777 and 7,639.83

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Solution

The fourth proportional to 13,607.25, 18,777 and 7,639.83 is: 10,542.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,607.25 : 18,777 = 7,639.83 : x
  2. Step 2: Convert to fraction form
    13,607.25/18,777 = 7,639.83/x
  3. Step 3: Cross multiply
    13,607.25x = 18,777 × 7,639.83
  4. Step 4: Simplify right side
    13,607.25x = 143,453,087.91
  5. Step 5: Solve for x
    x = 143,453,087.91/13,607.25
  6. Step 6: Final answer
    x = 10,542.40

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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.