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Finding the Fourth Proportional to 23,704.66, 32,713.98 and 13,094.44

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Solution

The fourth proportional to 23,704.66, 32,713.98 and 13,094.44 is: 18,071.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,704.66 : 32,713.98 = 13,094.44 : x
  2. Step 2: Convert to fraction form
    23,704.66/32,713.98 = 13,094.44/x
  3. Step 3: Cross multiply
    23,704.66x = 32,713.98 × 13,094.44
  4. Step 4: Simplify right side
    23,704.66x = 428,371,248.27
  5. Step 5: Solve for x
    x = 428,371,248.27/23,704.66
  6. Step 6: Final answer
    x = 18,071.18

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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.