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Finding the Fourth Proportional to 20,992.56, 28,969.70 and 11,561

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Solution

The fourth proportional to 20,992.56, 28,969.70 and 11,561 is: 15,954.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,992.56 : 28,969.70 = 11,561 : x
  2. Step 2: Convert to fraction form
    20,992.56/28,969.70 = 11,561/x
  3. Step 3: Cross multiply
    20,992.56x = 28,969.70 × 11,561
  4. Step 4: Simplify right side
    20,992.56x = 334,918,701.70
  5. Step 5: Solve for x
    x = 334,918,701.70/20,992.56
  6. Step 6: Final answer
    x = 15,954.16

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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.