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Finding the Fourth Proportional to 23,562.38, 32,514.50 and 12,951.50

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Solution

The fourth proportional to 23,562.38, 32,514.50 and 12,951.50 is: 17,872.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,562.38 : 32,514.50 = 12,951.50 : x
  2. Step 2: Convert to fraction form
    23,562.38/32,514.50 = 12,951.50/x
  3. Step 3: Cross multiply
    23,562.38x = 32,514.50 × 12,951.50
  4. Step 4: Simplify right side
    23,562.38x = 421,111,546.75
  5. Step 5: Solve for x
    x = 421,111,546.75/23,562.38
  6. Step 6: Final answer
    x = 17,872.20

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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.