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Finding the Fourth Proportional to 12,505.50, 17,257.86 and 7,199.46

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Solution

The fourth proportional to 12,505.50, 17,257.86 and 7,199.46 is: 9,935.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,505.50 : 17,257.86 = 7,199.46 : x
  2. Step 2: Convert to fraction form
    12,505.50/17,257.86 = 7,199.46/x
  3. Step 3: Cross multiply
    12,505.50x = 17,257.86 × 7,199.46
  4. Step 4: Simplify right side
    12,505.50x = 124,247,272.76
  5. Step 5: Solve for x
    x = 124,247,272.76/12,505.50
  6. Step 6: Final answer
    x = 9,935.41

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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.