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Finding the Fourth Proportional to 21,076.68, 31,616.46 and 6,284.46

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Solution

The fourth proportional to 21,076.68, 31,616.46 and 6,284.46 is: 9,427.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,076.68 : 31,616.46 = 6,284.46 : x
  2. Step 2: Convert to fraction form
    21,076.68/31,616.46 = 6,284.46/x
  3. Step 3: Cross multiply
    21,076.68x = 31,616.46 × 6,284.46
  4. Step 4: Simplify right side
    21,076.68x = 198,692,378.21
  5. Step 5: Solve for x
    x = 198,692,378.21/21,076.68
  6. Step 6: Final answer
    x = 9,427.12

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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.