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Finding the Fourth Proportional to 21,254.68, 31,885.89 and 7,023.97

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Solution

The fourth proportional to 21,254.68, 31,885.89 and 7,023.97 is: 10,537.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,254.68 : 31,885.89 = 7,023.97 : x
  2. Step 2: Convert to fraction form
    21,254.68/31,885.89 = 7,023.97/x
  3. Step 3: Cross multiply
    21,254.68x = 31,885.89 × 7,023.97
  4. Step 4: Simplify right side
    21,254.68x = 223,965,534.78
  5. Step 5: Solve for x
    x = 223,965,534.78/21,254.68
  6. Step 6: Final answer
    x = 10,537.23

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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.