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Finding the Fourth Proportional to 23,782.95, 32,819.22 and 13,171.95

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Solution

The fourth proportional to 23,782.95, 32,819.22 and 13,171.95 is: 18,176.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,782.95 : 32,819.22 = 13,171.95 : x
  2. Step 2: Convert to fraction form
    23,782.95/32,819.22 = 13,171.95/x
  3. Step 3: Cross multiply
    23,782.95x = 32,819.22 × 13,171.95
  4. Step 4: Simplify right side
    23,782.95x = 432,293,124.88
  5. Step 5: Solve for x
    x = 432,293,124.88/23,782.95
  6. Step 6: Final answer
    x = 18,176.60

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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.