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Finding the Fourth Proportional to 24,462, 33,757.56 and 13,852.62

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Solution

The fourth proportional to 24,462, 33,757.56 and 13,852.62 is: 19,116.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,462 : 33,757.56 = 13,852.62 : x
  2. Step 2: Convert to fraction form
    24,462/33,757.56 = 13,852.62/x
  3. Step 3: Cross multiply
    24,462x = 33,757.56 × 13,852.62
  4. Step 4: Simplify right side
    24,462x = 467,630,650.81
  5. Step 5: Solve for x
    x = 467,630,650.81/24,462
  6. Step 6: Final answer
    x = 19,116.62

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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.