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Finding the Fourth Proportional to 20,709.98, 28,580.11 and 11,757.74

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Solution

The fourth proportional to 20,709.98, 28,580.11 and 11,757.74 is: 16,225.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,709.98 : 28,580.11 = 11,757.74 : x
  2. Step 2: Convert to fraction form
    20,709.98/28,580.11 = 11,757.74/x
  3. Step 3: Cross multiply
    20,709.98x = 28,580.11 × 11,757.74
  4. Step 4: Simplify right side
    20,709.98x = 336,037,502.55
  5. Step 5: Solve for x
    x = 336,037,502.55/20,709.98
  6. Step 6: Final answer
    x = 16,225.87

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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.