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Finding the Fourth Proportional to 11,840.96, 16,322.28 and 8,852.24

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Solution

The fourth proportional to 11,840.96, 16,322.28 and 8,852.24 is: 12,202.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840.96 : 16,322.28 = 8,852.24 : x
  2. Step 2: Convert to fraction form
    11,840.96/16,322.28 = 8,852.24/x
  3. Step 3: Cross multiply
    11,840.96x = 16,322.28 × 8,852.24
  4. Step 4: Simplify right side
    11,840.96x = 144,488,739.91
  5. Step 5: Solve for x
    x = 144,488,739.91/11,840.96
  6. Step 6: Final answer
    x = 12,202.45

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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.