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Finding the Fourth Proportional to 20,591.44, 28,416.29 and 11,160

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Solution

The fourth proportional to 20,591.44, 28,416.29 and 11,160 is: 15,400.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,591.44 : 28,416.29 = 11,160 : x
  2. Step 2: Convert to fraction form
    20,591.44/28,416.29 = 11,160/x
  3. Step 3: Cross multiply
    20,591.44x = 28,416.29 × 11,160
  4. Step 4: Simplify right side
    20,591.44x = 317,125,740.60
  5. Step 5: Solve for x
    x = 317,125,740.60/20,591.44
  6. Step 6: Final answer
    x = 15,400.85

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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.