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Finding the Fourth Proportional to 11,776.32, 16,232.40 and 9,793.44

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Solution

The fourth proportional to 11,776.32, 16,232.40 and 9,793.44 is: 13,499.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,776.32 : 16,232.40 = 9,793.44 : x
  2. Step 2: Convert to fraction form
    11,776.32/16,232.40 = 9,793.44/x
  3. Step 3: Cross multiply
    11,776.32x = 16,232.40 × 9,793.44
  4. Step 4: Simplify right side
    11,776.32x = 158,971,035.46
  5. Step 5: Solve for x
    x = 158,971,035.46/11,776.32
  6. Step 6: Final answer
    x = 13,499.21

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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.