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Finding the Fourth Proportional to 20,646.75, 28,492.59 and 12,149.20

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Solution

The fourth proportional to 20,646.75, 28,492.59 and 12,149.20 is: 16,765.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,646.75 : 28,492.59 = 12,149.20 : x
  2. Step 2: Convert to fraction form
    20,646.75/28,492.59 = 12,149.20/x
  3. Step 3: Cross multiply
    20,646.75x = 28,492.59 × 12,149.20
  4. Step 4: Simplify right side
    20,646.75x = 346,162,174.43
  5. Step 5: Solve for x
    x = 346,162,174.43/20,646.75
  6. Step 6: Final answer
    x = 16,765.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.