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Finding the Fourth Proportional to 21,268.16, 31,901.92 and 6,676.16

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Solution

The fourth proportional to 21,268.16, 31,901.92 and 6,676.16 is: 10,014.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,268.16 : 31,901.92 = 6,676.16 : x
  2. Step 2: Convert to fraction form
    21,268.16/31,901.92 = 6,676.16/x
  3. Step 3: Cross multiply
    21,268.16x = 31,901.92 × 6,676.16
  4. Step 4: Simplify right side
    21,268.16x = 212,982,322.23
  5. Step 5: Solve for x
    x = 212,982,322.23/21,268.16
  6. Step 6: Final answer
    x = 10,014.14

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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.