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Finding the Fourth Proportional to 12,598.41, 17,385.37 and 6,932.63

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Solution

The fourth proportional to 12,598.41, 17,385.37 and 6,932.63 is: 9,566.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,598.41 : 17,385.37 = 6,932.63 : x
  2. Step 2: Convert to fraction form
    12,598.41/17,385.37 = 6,932.63/x
  3. Step 3: Cross multiply
    12,598.41x = 17,385.37 × 6,932.63
  4. Step 4: Simplify right side
    12,598.41x = 120,526,265.96
  5. Step 5: Solve for x
    x = 120,526,265.96/12,598.41
  6. Step 6: Final answer
    x = 9,566.78

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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.