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Finding the Fourth Proportional to 24,437.82, 36,644.43 and 11,939.12

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Solution

The fourth proportional to 24,437.82, 36,644.43 and 11,939.12 is: 17,902.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,437.82 : 36,644.43 = 11,939.12 : x
  2. Step 2: Convert to fraction form
    24,437.82/36,644.43 = 11,939.12/x
  3. Step 3: Cross multiply
    24,437.82x = 36,644.43 × 11,939.12
  4. Step 4: Simplify right side
    24,437.82x = 437,502,246.07
  5. Step 5: Solve for x
    x = 437,502,246.07/24,437.82
  6. Step 6: Final answer
    x = 17,902.67

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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.