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Finding the Fourth Proportional to 20,977.66, 28,942.65 and 12,023.42

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Solution

The fourth proportional to 20,977.66, 28,942.65 and 12,023.42 is: 16,588.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,977.66 : 28,942.65 = 12,023.42 : x
  2. Step 2: Convert to fraction form
    20,977.66/28,942.65 = 12,023.42/x
  3. Step 3: Cross multiply
    20,977.66x = 28,942.65 × 12,023.42
  4. Step 4: Simplify right side
    20,977.66x = 347,989,492.15
  5. Step 5: Solve for x
    x = 347,989,492.15/20,977.66
  6. Step 6: Final answer
    x = 16,588.57

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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.