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Finding the Fourth Proportional to 15,033.50, 20,744.81 and 10,178.35

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Solution

The fourth proportional to 15,033.50, 20,744.81 and 10,178.35 is: 14,045.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,033.50 : 20,744.81 = 10,178.35 : x
  2. Step 2: Convert to fraction form
    15,033.50/20,744.81 = 10,178.35/x
  3. Step 3: Cross multiply
    15,033.50x = 20,744.81 × 10,178.35
  4. Step 4: Simplify right side
    15,033.50x = 211,147,833.14
  5. Step 5: Solve for x
    x = 211,147,833.14/15,033.50
  6. Step 6: Final answer
    x = 14,045.16

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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.