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Finding the Fourth Proportional to 39,338.16, 59,015.88 and 11,634

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Solution

The fourth proportional to 39,338.16, 59,015.88 and 11,634 is: 17,453.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,338.16 : 59,015.88 = 11,634 : x
  2. Step 2: Convert to fraction form
    39,338.16/59,015.88 = 11,634/x
  3. Step 3: Cross multiply
    39,338.16x = 59,015.88 × 11,634
  4. Step 4: Simplify right side
    39,338.16x = 686,590,747.92
  5. Step 5: Solve for x
    x = 686,590,747.92/39,338.16
  6. Step 6: Final answer
    x = 17,453.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.