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Finding the Fourth Proportional to 24,699.50, 37,049.25 and 11,561.10

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Solution

The fourth proportional to 24,699.50, 37,049.25 and 11,561.10 is: 17,341.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,699.50 : 37,049.25 = 11,561.10 : x
  2. Step 2: Convert to fraction form
    24,699.50/37,049.25 = 11,561.10/x
  3. Step 3: Cross multiply
    24,699.50x = 37,049.25 × 11,561.10
  4. Step 4: Simplify right side
    24,699.50x = 428,329,923.56
  5. Step 5: Solve for x
    x = 428,329,923.56/24,699.50
  6. Step 6: Final answer
    x = 17,341.64

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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.