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Finding the Fourth Proportional to 23,861.61, 32,923.80 and 14,429.97

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Solution

The fourth proportional to 23,861.61, 32,923.80 and 14,429.97 is: 19,910.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,861.61 : 32,923.80 = 14,429.97 : x
  2. Step 2: Convert to fraction form
    23,861.61/32,923.80 = 14,429.97/x
  3. Step 3: Cross multiply
    23,861.61x = 32,923.80 × 14,429.97
  4. Step 4: Simplify right side
    23,861.61x = 475,089,446.29
  5. Step 5: Solve for x
    x = 475,089,446.29/23,861.61
  6. Step 6: Final answer
    x = 19,910.20

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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.