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Finding the Fourth Proportional to 24,463, 33,761.82 and 14,527

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Solution

The fourth proportional to 24,463, 33,761.82 and 14,527 is: 20,048.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,463 : 33,761.82 = 14,527 : x
  2. Step 2: Convert to fraction form
    24,463/33,761.82 = 14,527/x
  3. Step 3: Cross multiply
    24,463x = 33,761.82 × 14,527
  4. Step 4: Simplify right side
    24,463x = 490,457,959.14
  5. Step 5: Solve for x
    x = 490,457,959.14/24,463
  6. Step 6: Final answer
    x = 20,048.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.