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Finding the Fourth Proportional to 11,996.42, 16,543.80 and 9,484.52

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Solution

The fourth proportional to 11,996.42, 16,543.80 and 9,484.52 is: 13,079.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,996.42 : 16,543.80 = 9,484.52 : x
  2. Step 2: Convert to fraction form
    11,996.42/16,543.80 = 9,484.52/x
  3. Step 3: Cross multiply
    11,996.42x = 16,543.80 × 9,484.52
  4. Step 4: Simplify right side
    11,996.42x = 156,910,043.34
  5. Step 5: Solve for x
    x = 156,910,043.34/11,996.42
  6. Step 6: Final answer
    x = 13,079.74

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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.