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Finding the Fourth Proportional to 20,275.94, 27,980.85 and 11,323.78

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Solution

The fourth proportional to 20,275.94, 27,980.85 and 11,323.78 is: 15,626.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,275.94 : 27,980.85 = 11,323.78 : x
  2. Step 2: Convert to fraction form
    20,275.94/27,980.85 = 11,323.78/x
  3. Step 3: Cross multiply
    20,275.94x = 27,980.85 × 11,323.78
  4. Step 4: Simplify right side
    20,275.94x = 316,848,930.28
  5. Step 5: Solve for x
    x = 316,848,930.28/20,275.94
  6. Step 6: Final answer
    x = 15,626.85

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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.