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Finding the Fourth Proportional to 23,296.98, 32,146.56 and 13,222.20

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Solution

The fourth proportional to 23,296.98, 32,146.56 and 13,222.20 is: 18,244.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,296.98 : 32,146.56 = 13,222.20 : x
  2. Step 2: Convert to fraction form
    23,296.98/32,146.56 = 13,222.20/x
  3. Step 3: Cross multiply
    23,296.98x = 32,146.56 × 13,222.20
  4. Step 4: Simplify right side
    23,296.98x = 425,048,245.63
  5. Step 5: Solve for x
    x = 425,048,245.63/23,296.98
  6. Step 6: Final answer
    x = 18,244.78

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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.