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Finding the Fourth Proportional to 23,694.86, 32,697.86 and 13,084.26

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Solution

The fourth proportional to 23,694.86, 32,697.86 and 13,084.26 is: 18,055.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,694.86 : 32,697.86 = 13,084.26 : x
  2. Step 2: Convert to fraction form
    23,694.86/32,697.86 = 13,084.26/x
  3. Step 3: Cross multiply
    23,694.86x = 32,697.86 × 13,084.26
  4. Step 4: Simplify right side
    23,694.86x = 427,827,236.26
  5. Step 5: Solve for x
    x = 427,827,236.26/23,694.86
  6. Step 6: Final answer
    x = 18,055.70

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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.