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Finding the Fourth Proportional to 23,806.26, 32,853.51 and 13,196.88

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Solution

The fourth proportional to 23,806.26, 32,853.51 and 13,196.88 is: 18,212.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,806.26 : 32,853.51 = 13,196.88 : x
  2. Step 2: Convert to fraction form
    23,806.26/32,853.51 = 13,196.88/x
  3. Step 3: Cross multiply
    23,806.26x = 32,853.51 × 13,196.88
  4. Step 4: Simplify right side
    23,806.26x = 433,563,829.05
  5. Step 5: Solve for x
    x = 433,563,829.05/23,806.26
  6. Step 6: Final answer
    x = 18,212.18

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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.