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Finding the Fourth Proportional to 23,843.50, 32,902.49 and 14,890.46

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Solution

The fourth proportional to 23,843.50, 32,902.49 and 14,890.46 is: 20,547.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,843.50 : 32,902.49 = 14,890.46 : x
  2. Step 2: Convert to fraction form
    23,843.50/32,902.49 = 14,890.46/x
  3. Step 3: Cross multiply
    23,843.50x = 32,902.49 × 14,890.46
  4. Step 4: Simplify right side
    23,843.50x = 489,933,211.25
  5. Step 5: Solve for x
    x = 489,933,211.25/23,843.50
  6. Step 6: Final answer
    x = 20,547.87

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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.