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Finding the Fourth Proportional to 12,770.60, 17,617.23 and 9,933.03

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Solution

The fourth proportional to 12,770.60, 17,617.23 and 9,933.03 is: 13,702.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,770.60 : 17,617.23 = 9,933.03 : x
  2. Step 2: Convert to fraction form
    12,770.60/17,617.23 = 9,933.03/x
  3. Step 3: Cross multiply
    12,770.60x = 17,617.23 × 9,933.03
  4. Step 4: Simplify right side
    12,770.60x = 174,992,474.11
  5. Step 5: Solve for x
    x = 174,992,474.11/12,770.60
  6. Step 6: Final answer
    x = 13,702.77

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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.