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Finding the Fourth Proportional to 21,043.80, 31,602.15 and 11,202.30

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Solution

The fourth proportional to 21,043.80, 31,602.15 and 11,202.30 is: 16,822.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,043.80 : 31,602.15 = 11,202.30 : x
  2. Step 2: Convert to fraction form
    21,043.80/31,602.15 = 11,202.30/x
  3. Step 3: Cross multiply
    21,043.80x = 31,602.15 × 11,202.30
  4. Step 4: Simplify right side
    21,043.80x = 354,016,764.95
  5. Step 5: Solve for x
    x = 354,016,764.95/21,043.80
  6. Step 6: Final answer
    x = 16,822.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.