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Finding the Fourth Proportional to 21,026.31, 31,534.08 and 6,231.76

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Solution

The fourth proportional to 21,026.31, 31,534.08 and 6,231.76 is: 9,346.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,026.31 : 31,534.08 = 6,231.76 : x
  2. Step 2: Convert to fraction form
    21,026.31/31,534.08 = 6,231.76/x
  3. Step 3: Cross multiply
    21,026.31x = 31,534.08 × 6,231.76
  4. Step 4: Simplify right side
    21,026.31x = 196,512,818.38
  5. Step 5: Solve for x
    x = 196,512,818.38/21,026.31
  6. Step 6: Final answer
    x = 9,346.04

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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.