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Finding the Fourth Proportional to 20,884.48, 31,333.58 and 7,737.84

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Solution

The fourth proportional to 20,884.48, 31,333.58 and 7,737.84 is: 11,609.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,884.48 : 31,333.58 = 7,737.84 : x
  2. Step 2: Convert to fraction form
    20,884.48/31,333.58 = 7,737.84/x
  3. Step 3: Cross multiply
    20,884.48x = 31,333.58 × 7,737.84
  4. Step 4: Simplify right side
    20,884.48x = 242,454,228.67
  5. Step 5: Solve for x
    x = 242,454,228.67/20,884.48
  6. Step 6: Final answer
    x = 11,609.30

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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.