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Finding the Fourth Proportional to 23,707.86, 32,714.20 and 13,094.84

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Solution

The fourth proportional to 23,707.86, 32,714.20 and 13,094.84 is: 18,069.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,707.86 : 32,714.20 = 13,094.84 : x
  2. Step 2: Convert to fraction form
    23,707.86/32,714.20 = 13,094.84/x
  3. Step 3: Cross multiply
    23,707.86x = 32,714.20 × 13,094.84
  4. Step 4: Simplify right side
    23,707.86x = 428,387,214.73
  5. Step 5: Solve for x
    x = 428,387,214.73/23,707.86
  6. Step 6: Final answer
    x = 18,069.42

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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.