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Finding the Fourth Proportional to 23,561.46, 32,514.84 and 12,951.72

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Solution

The fourth proportional to 23,561.46, 32,514.84 and 12,951.72 is: 17,873.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,561.46 : 32,514.84 = 12,951.72 : x
  2. Step 2: Convert to fraction form
    23,561.46/32,514.84 = 12,951.72/x
  3. Step 3: Cross multiply
    23,561.46x = 32,514.84 × 12,951.72
  4. Step 4: Simplify right side
    23,561.46x = 421,123,103.52
  5. Step 5: Solve for x
    x = 421,123,103.52/23,561.46
  6. Step 6: Final answer
    x = 17,873.39

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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.