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Finding the Fourth Proportional to 15,520.84, 23,286.12 and 9,980.44

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Solution

The fourth proportional to 15,520.84, 23,286.12 and 9,980.44 is: 14,973.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,520.84 : 23,286.12 = 9,980.44 : x
  2. Step 2: Convert to fraction form
    15,520.84/23,286.12 = 9,980.44/x
  3. Step 3: Cross multiply
    15,520.84x = 23,286.12 × 9,980.44
  4. Step 4: Simplify right side
    15,520.84x = 232,405,627.85
  5. Step 5: Solve for x
    x = 232,405,627.85/15,520.84
  6. Step 6: Final answer
    x = 14,973.78

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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.