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Finding the Fourth Proportional to 12,803.08, 17,667.80 and 7,497.80

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Solution

The fourth proportional to 12,803.08, 17,667.80 and 7,497.80 is: 10,346.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,803.08 : 17,667.80 = 7,497.80 : x
  2. Step 2: Convert to fraction form
    12,803.08/17,667.80 = 7,497.80/x
  3. Step 3: Cross multiply
    12,803.08x = 17,667.80 × 7,497.80
  4. Step 4: Simplify right side
    12,803.08x = 132,469,630.84
  5. Step 5: Solve for x
    x = 132,469,630.84/12,803.08
  6. Step 6: Final answer
    x = 10,346.70

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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.