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Finding the Fourth Proportional to 23,770.98, 32,803.84 and 12,869.09

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Solution

The fourth proportional to 23,770.98, 32,803.84 and 12,869.09 is: 17,759.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,770.98 : 32,803.84 = 12,869.09 : x
  2. Step 2: Convert to fraction form
    23,770.98/32,803.84 = 12,869.09/x
  3. Step 3: Cross multiply
    23,770.98x = 32,803.84 × 12,869.09
  4. Step 4: Simplify right side
    23,770.98x = 422,155,569.31
  5. Step 5: Solve for x
    x = 422,155,569.31/23,770.98
  6. Step 6: Final answer
    x = 17,759.28

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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.