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Finding the Fourth Proportional to 27,965.40, 41,933.70 and 10,426.20

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Solution

The fourth proportional to 27,965.40, 41,933.70 and 10,426.20 is: 15,633.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,965.40 : 41,933.70 = 10,426.20 : x
  2. Step 2: Convert to fraction form
    27,965.40/41,933.70 = 10,426.20/x
  3. Step 3: Cross multiply
    27,965.40x = 41,933.70 × 10,426.20
  4. Step 4: Simplify right side
    27,965.40x = 437,209,142.94
  5. Step 5: Solve for x
    x = 437,209,142.94/27,965.40
  6. Step 6: Final answer
    x = 15,633.93

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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.