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Finding the Fourth Proportional to 24,771, 37,156.50 and 7,240.98

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Solution

The fourth proportional to 24,771, 37,156.50 and 7,240.98 is: 10,861.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,771 : 37,156.50 = 7,240.98 : x
  2. Step 2: Convert to fraction form
    24,771/37,156.50 = 7,240.98/x
  3. Step 3: Cross multiply
    24,771x = 37,156.50 × 7,240.98
  4. Step 4: Simplify right side
    24,771x = 269,049,473.37
  5. Step 5: Solve for x
    x = 269,049,473.37/24,771
  6. Step 6: Final answer
    x = 10,861.47

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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.