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Finding the Fourth Proportional to 23,272.86, 32,114.80 and 13,198.98

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Solution

The fourth proportional to 23,272.86, 32,114.80 and 13,198.98 is: 18,213.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,272.86 : 32,114.80 = 13,198.98 : x
  2. Step 2: Convert to fraction form
    23,272.86/32,114.80 = 13,198.98/x
  3. Step 3: Cross multiply
    23,272.86x = 32,114.80 × 13,198.98
  4. Step 4: Simplify right side
    23,272.86x = 423,882,602.90
  5. Step 5: Solve for x
    x = 423,882,602.90/23,272.86
  6. Step 6: Final answer
    x = 18,213.60

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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.