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Finding the Fourth Proportional to 24,462, 33,760.44 and 14,526

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Solution

The fourth proportional to 24,462, 33,760.44 and 14,526 is: 20,047.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,462 : 33,760.44 = 14,526 : x
  2. Step 2: Convert to fraction form
    24,462/33,760.44 = 14,526/x
  3. Step 3: Cross multiply
    24,462x = 33,760.44 × 14,526
  4. Step 4: Simplify right side
    24,462x = 490,404,151.44
  5. Step 5: Solve for x
    x = 490,404,151.44/24,462
  6. Step 6: Final answer
    x = 20,047.59

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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.