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Finding the Fourth Proportional to 20,446.56, 28,208.26 and 11,492

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Solution

The fourth proportional to 20,446.56, 28,208.26 and 11,492 is: 15,854.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,446.56 : 28,208.26 = 11,492 : x
  2. Step 2: Convert to fraction form
    20,446.56/28,208.26 = 11,492/x
  3. Step 3: Cross multiply
    20,446.56x = 28,208.26 × 11,492
  4. Step 4: Simplify right side
    20,446.56x = 324,169,323.92
  5. Step 5: Solve for x
    x = 324,169,323.92/20,446.56
  6. Step 6: Final answer
    x = 15,854.47

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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.