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Finding the Fourth Proportional to 21,003.46, 31,505.20 and 5,419.88

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Solution

The fourth proportional to 21,003.46, 31,505.20 and 5,419.88 is: 8,129.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,003.46 : 31,505.20 = 5,419.88 : x
  2. Step 2: Convert to fraction form
    21,003.46/31,505.20 = 5,419.88/x
  3. Step 3: Cross multiply
    21,003.46x = 31,505.20 × 5,419.88
  4. Step 4: Simplify right side
    21,003.46x = 170,754,403.38
  5. Step 5: Solve for x
    x = 170,754,403.38/21,003.46
  6. Step 6: Final answer
    x = 8,129.82

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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.