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Finding the Fourth Proportional to 20,494.76, 30,720.24 and 14,633.60

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Solution

The fourth proportional to 20,494.76, 30,720.24 and 14,633.60 is: 21,934.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,494.76 : 30,720.24 = 14,633.60 : x
  2. Step 2: Convert to fraction form
    20,494.76/30,720.24 = 14,633.60/x
  3. Step 3: Cross multiply
    20,494.76x = 30,720.24 × 14,633.60
  4. Step 4: Simplify right side
    20,494.76x = 449,547,704.06
  5. Step 5: Solve for x
    x = 449,547,704.06/20,494.76
  6. Step 6: Final answer
    x = 21,934.76

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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.