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Finding the Fourth Proportional to 24,843.76, 34,289.07 and 14,233.37

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Solution

The fourth proportional to 24,843.76, 34,289.07 and 14,233.37 is: 19,644.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,843.76 : 34,289.07 = 14,233.37 : x
  2. Step 2: Convert to fraction form
    24,843.76/34,289.07 = 14,233.37/x
  3. Step 3: Cross multiply
    24,843.76x = 34,289.07 × 14,233.37
  4. Step 4: Simplify right side
    24,843.76x = 488,049,068.38
  5. Step 5: Solve for x
    x = 488,049,068.38/24,843.76
  6. Step 6: Final answer
    x = 19,644.73

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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.