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Finding the Fourth Proportional to 16,061.89, 24,082.56 and 7,725.31

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Solution

The fourth proportional to 16,061.89, 24,082.56 and 7,725.31 is: 11,583.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,061.89 : 24,082.56 = 7,725.31 : x
  2. Step 2: Convert to fraction form
    16,061.89/24,082.56 = 7,725.31/x
  3. Step 3: Cross multiply
    16,061.89x = 24,082.56 × 7,725.31
  4. Step 4: Simplify right side
    16,061.89x = 186,045,121.18
  5. Step 5: Solve for x
    x = 186,045,121.18/16,061.89
  6. Step 6: Final answer
    x = 11,583.02

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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.