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Finding the Fourth Proportional to 12,597.96, 17,385.15 and 6,932.82

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Solution

The fourth proportional to 12,597.96, 17,385.15 and 6,932.82 is: 9,567.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,597.96 : 17,385.15 = 6,932.82 : x
  2. Step 2: Convert to fraction form
    12,597.96/17,385.15 = 6,932.82/x
  3. Step 3: Cross multiply
    12,597.96x = 17,385.15 × 6,932.82
  4. Step 4: Simplify right side
    12,597.96x = 120,528,115.62
  5. Step 5: Solve for x
    x = 120,528,115.62/12,597.96
  6. Step 6: Final answer
    x = 9,567.27

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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.