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Finding the Fourth Proportional to 12,770.94, 17,627.55 and 8,528.16

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Solution

The fourth proportional to 12,770.94, 17,627.55 and 8,528.16 is: 11,771.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,770.94 : 17,627.55 = 8,528.16 : x
  2. Step 2: Convert to fraction form
    12,770.94/17,627.55 = 8,528.16/x
  3. Step 3: Cross multiply
    12,770.94x = 17,627.55 × 8,528.16
  4. Step 4: Simplify right side
    12,770.94x = 150,330,566.81
  5. Step 5: Solve for x
    x = 150,330,566.81/12,770.94
  6. Step 6: Final answer
    x = 11,771.30

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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.