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Finding the Fourth Proportional to 23,381.60, 32,267.49 and 12,771.32

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Solution

The fourth proportional to 23,381.60, 32,267.49 and 12,771.32 is: 17,624.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,381.60 : 32,267.49 = 12,771.32 : x
  2. Step 2: Convert to fraction form
    23,381.60/32,267.49 = 12,771.32/x
  3. Step 3: Cross multiply
    23,381.60x = 32,267.49 × 12,771.32
  4. Step 4: Simplify right side
    23,381.60x = 412,098,279.05
  5. Step 5: Solve for x
    x = 412,098,279.05/23,381.60
  6. Step 6: Final answer
    x = 17,624.89

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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.