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Finding the Fourth Proportional to 15,171.87, 20,936.16 and 9,506.46

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Solution

The fourth proportional to 15,171.87, 20,936.16 and 9,506.46 is: 13,118.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,171.87 : 20,936.16 = 9,506.46 : x
  2. Step 2: Convert to fraction form
    15,171.87/20,936.16 = 9,506.46/x
  3. Step 3: Cross multiply
    15,171.87x = 20,936.16 × 9,506.46
  4. Step 4: Simplify right side
    15,171.87x = 199,028,767.59
  5. Step 5: Solve for x
    x = 199,028,767.59/15,171.87
  6. Step 6: Final answer
    x = 13,118.28

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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.