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Finding the Fourth Proportional to 24,992, 37,458.84 and 13,893.38

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Solution

The fourth proportional to 24,992, 37,458.84 and 13,893.38 is: 20,823.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,992 : 37,458.84 = 13,893.38 : x
  2. Step 2: Convert to fraction form
    24,992/37,458.84 = 13,893.38/x
  3. Step 3: Cross multiply
    24,992x = 37,458.84 × 13,893.38
  4. Step 4: Simplify right side
    24,992x = 520,429,898.48
  5. Step 5: Solve for x
    x = 520,429,898.48/24,992
  6. Step 6: Final answer
    x = 20,823.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.