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Finding the Fourth Proportional to 23,242.34, 32,074.68 and 12,631.98

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Solution

The fourth proportional to 23,242.34, 32,074.68 and 12,631.98 is: 17,432.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,242.34 : 32,074.68 = 12,631.98 : x
  2. Step 2: Convert to fraction form
    23,242.34/32,074.68 = 12,631.98/x
  3. Step 3: Cross multiply
    23,242.34x = 32,074.68 × 12,631.98
  4. Step 4: Simplify right side
    23,242.34x = 405,166,716.27
  5. Step 5: Solve for x
    x = 405,166,716.27/23,242.34
  6. Step 6: Final answer
    x = 17,432.27

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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.