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Finding the Fourth Proportional to 24,032.38, 33,163.64 and 13,421.82

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Solution

The fourth proportional to 24,032.38, 33,163.64 and 13,421.82 is: 18,521.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,032.38 : 33,163.64 = 13,421.82 : x
  2. Step 2: Convert to fraction form
    24,032.38/33,163.64 = 13,421.82/x
  3. Step 3: Cross multiply
    24,032.38x = 33,163.64 × 13,421.82
  4. Step 4: Simplify right side
    24,032.38x = 445,116,406.62
  5. Step 5: Solve for x
    x = 445,116,406.62/24,032.38
  6. Step 6: Final answer
    x = 18,521.53

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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.