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Finding the Fourth Proportional to 23,514.86, 32,451.29 and 12,905.07

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Solution

The fourth proportional to 23,514.86, 32,451.29 and 12,905.07 is: 17,809.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,514.86 : 32,451.29 = 12,905.07 : x
  2. Step 2: Convert to fraction form
    23,514.86/32,451.29 = 12,905.07/x
  3. Step 3: Cross multiply
    23,514.86x = 32,451.29 × 12,905.07
  4. Step 4: Simplify right side
    23,514.86x = 418,786,104.51
  5. Step 5: Solve for x
    x = 418,786,104.51/23,514.86
  6. Step 6: Final answer
    x = 17,809.43

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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.