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Finding the Fourth Proportional to 20,737.36, 31,088.85 and 8,080.84

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Solution

The fourth proportional to 20,737.36, 31,088.85 and 8,080.84 is: 12,114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,737.36 : 31,088.85 = 8,080.84 : x
  2. Step 2: Convert to fraction form
    20,737.36/31,088.85 = 8,080.84/x
  3. Step 3: Cross multiply
    20,737.36x = 31,088.85 × 8,080.84
  4. Step 4: Simplify right side
    20,737.36x = 251,224,022.63
  5. Step 5: Solve for x
    x = 251,224,022.63/20,737.36
  6. Step 6: Final answer
    x = 12,114.56

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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.