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Finding the Fourth Proportional to 23,814.60, 32,858.10 and 14,861.40

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Solution

The fourth proportional to 23,814.60, 32,858.10 and 14,861.40 is: 20,504.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,814.60 : 32,858.10 = 14,861.40 : x
  2. Step 2: Convert to fraction form
    23,814.60/32,858.10 = 14,861.40/x
  3. Step 3: Cross multiply
    23,814.60x = 32,858.10 × 14,861.40
  4. Step 4: Simplify right side
    23,814.60x = 488,317,367.34
  5. Step 5: Solve for x
    x = 488,317,367.34/23,814.60
  6. Step 6: Final answer
    x = 20,504.96

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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.