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Finding the Fourth Proportional to 12,505.20, 17,257.50 and 7,200.24

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Solution

The fourth proportional to 12,505.20, 17,257.50 and 7,200.24 is: 9,936.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,505.20 : 17,257.50 = 7,200.24 : x
  2. Step 2: Convert to fraction form
    12,505.20/17,257.50 = 7,200.24/x
  3. Step 3: Cross multiply
    12,505.20x = 17,257.50 × 7,200.24
  4. Step 4: Simplify right side
    12,505.20x = 124,258,141.80
  5. Step 5: Solve for x
    x = 124,258,141.80/12,505.20
  6. Step 6: Final answer
    x = 9,936.52

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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.