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Finding the Fourth Proportional to 21,082.60, 31,652.70 and 10,701.64

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Solution

The fourth proportional to 21,082.60, 31,652.70 and 10,701.64 is: 16,067.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,082.60 : 31,652.70 = 10,701.64 : x
  2. Step 2: Convert to fraction form
    21,082.60/31,652.70 = 10,701.64/x
  3. Step 3: Cross multiply
    21,082.60x = 31,652.70 × 10,701.64
  4. Step 4: Simplify right side
    21,082.60x = 338,735,800.43
  5. Step 5: Solve for x
    x = 338,735,800.43/21,082.60
  6. Step 6: Final answer
    x = 16,067.08

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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.