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Finding the Fourth Proportional to 11,936.64, 16,458.54 and 9,691.44

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Solution

The fourth proportional to 11,936.64, 16,458.54 and 9,691.44 is: 13,362.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,936.64 : 16,458.54 = 9,691.44 : x
  2. Step 2: Convert to fraction form
    11,936.64/16,458.54 = 9,691.44/x
  3. Step 3: Cross multiply
    11,936.64x = 16,458.54 × 9,691.44
  4. Step 4: Simplify right side
    11,936.64x = 159,506,952.90
  5. Step 5: Solve for x
    x = 159,506,952.90/11,936.64
  6. Step 6: Final answer
    x = 13,362.80

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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.