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Finding the Fourth Proportional to 21,454.11, 32,146.02 and 20,634

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Solution

The fourth proportional to 21,454.11, 32,146.02 and 20,634 is: 30,917.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,454.11 : 32,146.02 = 20,634 : x
  2. Step 2: Convert to fraction form
    21,454.11/32,146.02 = 20,634/x
  3. Step 3: Cross multiply
    21,454.11x = 32,146.02 × 20,634
  4. Step 4: Simplify right side
    21,454.11x = 663,300,976.68
  5. Step 5: Solve for x
    x = 663,300,976.68/21,454.11
  6. Step 6: Final answer
    x = 30,917.20

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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.