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Finding the Fourth Proportional to 12,880.08, 17,770.32 and 7,213.95

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Solution

The fourth proportional to 12,880.08, 17,770.32 and 7,213.95 is: 9,952.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,880.08 : 17,770.32 = 7,213.95 : x
  2. Step 2: Convert to fraction form
    12,880.08/17,770.32 = 7,213.95/x
  3. Step 3: Cross multiply
    12,880.08x = 17,770.32 × 7,213.95
  4. Step 4: Simplify right side
    12,880.08x = 128,194,199.96
  5. Step 5: Solve for x
    x = 128,194,199.96/12,880.08
  6. Step 6: Final answer
    x = 9,952.90

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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.