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Finding the Fourth Proportional to 12,493.08, 17,222.58 and 7,709.84

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Solution

The fourth proportional to 12,493.08, 17,222.58 and 7,709.84 is: 10,628.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,493.08 : 17,222.58 = 7,709.84 : x
  2. Step 2: Convert to fraction form
    12,493.08/17,222.58 = 7,709.84/x
  3. Step 3: Cross multiply
    12,493.08x = 17,222.58 × 7,709.84
  4. Step 4: Simplify right side
    12,493.08x = 132,783,336.19
  5. Step 5: Solve for x
    x = 132,783,336.19/12,493.08
  6. Step 6: Final answer
    x = 10,628.55

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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.