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Finding the Fourth Proportional to 24,181.75, 33,372.64 and 13,429

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Solution

The fourth proportional to 24,181.75, 33,372.64 and 13,429 is: 18,533.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,181.75 : 33,372.64 = 13,429 : x
  2. Step 2: Convert to fraction form
    24,181.75/33,372.64 = 13,429/x
  3. Step 3: Cross multiply
    24,181.75x = 33,372.64 × 13,429
  4. Step 4: Simplify right side
    24,181.75x = 448,161,182.56
  5. Step 5: Solve for x
    x = 448,161,182.56/24,181.75
  6. Step 6: Final answer
    x = 18,533.03

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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.