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Finding the Fourth Proportional to 20,302.34, 30,439.05 and 7,811.84

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Solution

The fourth proportional to 20,302.34, 30,439.05 and 7,811.84 is: 11,712.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,302.34 : 30,439.05 = 7,811.84 : x
  2. Step 2: Convert to fraction form
    20,302.34/30,439.05 = 7,811.84/x
  3. Step 3: Cross multiply
    20,302.34x = 30,439.05 × 7,811.84
  4. Step 4: Simplify right side
    20,302.34x = 237,784,921.01
  5. Step 5: Solve for x
    x = 237,784,921.01/20,302.34
  6. Step 6: Final answer
    x = 11,712.19

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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.