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Finding the Fourth Proportional to 16,068.96, 24,082.56 and 13,980

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Solution

The fourth proportional to 16,068.96, 24,082.56 and 13,980 is: 20,951.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,068.96 : 24,082.56 = 13,980 : x
  2. Step 2: Convert to fraction form
    16,068.96/24,082.56 = 13,980/x
  3. Step 3: Cross multiply
    16,068.96x = 24,082.56 × 13,980
  4. Step 4: Simplify right side
    16,068.96x = 336,674,188.80
  5. Step 5: Solve for x
    x = 336,674,188.80/16,068.96
  6. Step 6: Final answer
    x = 20,951.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.