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Finding the Fourth Proportional to 22,520.96, 31,078.32 and 12,311.59

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Solution

The fourth proportional to 22,520.96, 31,078.32 and 12,311.59 is: 16,989.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,520.96 : 31,078.32 = 12,311.59 : x
  2. Step 2: Convert to fraction form
    22,520.96/31,078.32 = 12,311.59/x
  3. Step 3: Cross multiply
    22,520.96x = 31,078.32 × 12,311.59
  4. Step 4: Simplify right side
    22,520.96x = 382,623,533.73
  5. Step 5: Solve for x
    x = 382,623,533.73/22,520.96
  6. Step 6: Final answer
    x = 16,989.66

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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.