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Finding the Fourth Proportional to 20,522.26, 28,312.94 and 12,965.67

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Solution

The fourth proportional to 20,522.26, 28,312.94 and 12,965.67 is: 17,887.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,522.26 : 28,312.94 = 12,965.67 : x
  2. Step 2: Convert to fraction form
    20,522.26/28,312.94 = 12,965.67/x
  3. Step 3: Cross multiply
    20,522.26x = 28,312.94 × 12,965.67
  4. Step 4: Simplify right side
    20,522.26x = 367,096,269.18
  5. Step 5: Solve for x
    x = 367,096,269.18/20,522.26
  6. Step 6: Final answer
    x = 17,887.71

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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.