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Finding the Fourth Proportional to 23,514.72, 32,450.76 and 12,905.16

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Solution

The fourth proportional to 23,514.72, 32,450.76 and 12,905.16 is: 17,809.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,514.72 : 32,450.76 = 12,905.16 : x
  2. Step 2: Convert to fraction form
    23,514.72/32,450.76 = 12,905.16/x
  3. Step 3: Cross multiply
    23,514.72x = 32,450.76 × 12,905.16
  4. Step 4: Simplify right side
    23,514.72x = 418,782,249.92
  5. Step 5: Solve for x
    x = 418,782,249.92/23,514.72
  6. Step 6: Final answer
    x = 17,809.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.