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Finding the Fourth Proportional to 20,991.96, 28,966.50 and 12,037

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Solution

The fourth proportional to 20,991.96, 28,966.50 and 12,037 is: 16,609.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,991.96 : 28,966.50 = 12,037 : x
  2. Step 2: Convert to fraction form
    20,991.96/28,966.50 = 12,037/x
  3. Step 3: Cross multiply
    20,991.96x = 28,966.50 × 12,037
  4. Step 4: Simplify right side
    20,991.96x = 348,669,760.50
  5. Step 5: Solve for x
    x = 348,669,760.50/20,991.96
  6. Step 6: Final answer
    x = 16,609.68

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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.