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Finding the Fourth Proportional to 23,843.74, 32,902.83 and 14,890.71

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Solution

The fourth proportional to 23,843.74, 32,902.83 and 14,890.71 is: 20,548.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,843.74 : 32,902.83 = 14,890.71 : x
  2. Step 2: Convert to fraction form
    23,843.74/32,902.83 = 14,890.71/x
  3. Step 3: Cross multiply
    23,843.74x = 32,902.83 × 14,890.71
  4. Step 4: Simplify right side
    23,843.74x = 489,946,499.71
  5. Step 5: Solve for x
    x = 489,946,499.71/23,843.74
  6. Step 6: Final answer
    x = 20,548.22

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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.