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Finding the Fourth Proportional to 12,506.82, 17,257.50 and 7,200.78

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Solution

The fourth proportional to 12,506.82, 17,257.50 and 7,200.78 is: 9,935.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,506.82 : 17,257.50 = 7,200.78 : x
  2. Step 2: Convert to fraction form
    12,506.82/17,257.50 = 7,200.78/x
  3. Step 3: Cross multiply
    12,506.82x = 17,257.50 × 7,200.78
  4. Step 4: Simplify right side
    12,506.82x = 124,267,460.85
  5. Step 5: Solve for x
    x = 124,267,460.85/12,506.82
  6. Step 6: Final answer
    x = 9,935.98

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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.