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Finding the Fourth Proportional to 24,164.47, 33,346.90 and 13,410.96

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Solution

The fourth proportional to 24,164.47, 33,346.90 and 13,410.96 is: 18,507.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,164.47 : 33,346.90 = 13,410.96 : x
  2. Step 2: Convert to fraction form
    24,164.47/33,346.90 = 13,410.96/x
  3. Step 3: Cross multiply
    24,164.47x = 33,346.90 × 13,410.96
  4. Step 4: Simplify right side
    24,164.47x = 447,214,077.38
  5. Step 5: Solve for x
    x = 447,214,077.38/24,164.47
  6. Step 6: Final answer
    x = 18,507.09

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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.