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Finding the Fourth Proportional to 21,219.81, 29,283.80 and 11,659.83

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Solution

The fourth proportional to 21,219.81, 29,283.80 and 11,659.83 is: 16,090.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,219.81 : 29,283.80 = 11,659.83 : x
  2. Step 2: Convert to fraction form
    21,219.81/29,283.80 = 11,659.83/x
  3. Step 3: Cross multiply
    21,219.81x = 29,283.80 × 11,659.83
  4. Step 4: Simplify right side
    21,219.81x = 341,444,202.96
  5. Step 5: Solve for x
    x = 341,444,202.96/21,219.81
  6. Step 6: Final answer
    x = 16,090.82

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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.