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Finding the Fourth Proportional to 16,536.70, 24,773.77 and 12,820.74

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Solution

The fourth proportional to 16,536.70, 24,773.77 and 12,820.74 is: 19,206.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,536.70 : 24,773.77 = 12,820.74 : x
  2. Step 2: Convert to fraction form
    16,536.70/24,773.77 = 12,820.74/x
  3. Step 3: Cross multiply
    16,536.70x = 24,773.77 × 12,820.74
  4. Step 4: Simplify right side
    16,536.70x = 317,618,063.99
  5. Step 5: Solve for x
    x = 317,618,063.99/16,536.70
  6. Step 6: Final answer
    x = 19,206.86

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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.