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Finding the Fourth Proportional to 24,716.89, 37,082.90 and 7,186.87

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Solution

The fourth proportional to 24,716.89, 37,082.90 and 7,186.87 is: 10,782.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,716.89 : 37,082.90 = 7,186.87 : x
  2. Step 2: Convert to fraction form
    24,716.89/37,082.90 = 7,186.87/x
  3. Step 3: Cross multiply
    24,716.89x = 37,082.90 × 7,186.87
  4. Step 4: Simplify right side
    24,716.89x = 266,509,945.59
  5. Step 5: Solve for x
    x = 266,509,945.59/24,716.89
  6. Step 6: Final answer
    x = 10,782.50

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Why These Related Problems?

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