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Finding the Fourth Proportional to 23,879, 32,953.68 and 14,442.08

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Solution

The fourth proportional to 23,879, 32,953.68 and 14,442.08 is: 19,930.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,879 : 32,953.68 = 14,442.08 : x
  2. Step 2: Convert to fraction form
    23,879/32,953.68 = 14,442.08/x
  3. Step 3: Cross multiply
    23,879x = 32,953.68 × 14,442.08
  4. Step 4: Simplify right side
    23,879x = 475,919,682.85
  5. Step 5: Solve for x
    x = 475,919,682.85/23,879
  6. Step 6: Final answer
    x = 19,930.47

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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.