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Finding the Fourth Proportional to 21,254.73, 31,885.74 and 6,465.12

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Solution

The fourth proportional to 21,254.73, 31,885.74 and 6,465.12 is: 9,698.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,254.73 : 31,885.74 = 6,465.12 : x
  2. Step 2: Convert to fraction form
    21,254.73/31,885.74 = 6,465.12/x
  3. Step 3: Cross multiply
    21,254.73x = 31,885.74 × 6,465.12
  4. Step 4: Simplify right side
    21,254.73x = 206,145,135.39
  5. Step 5: Solve for x
    x = 206,145,135.39/21,254.73
  6. Step 6: Final answer
    x = 9,698.79

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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.