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Finding the Fourth Proportional to 23,776.70, 32,811.82 and 13,167

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Solution

The fourth proportional to 23,776.70, 32,811.82 and 13,167 is: 18,170.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,776.70 : 32,811.82 = 13,167 : x
  2. Step 2: Convert to fraction form
    23,776.70/32,811.82 = 13,167/x
  3. Step 3: Cross multiply
    23,776.70x = 32,811.82 × 13,167
  4. Step 4: Simplify right side
    23,776.70x = 432,033,233.94
  5. Step 5: Solve for x
    x = 432,033,233.94/23,776.70
  6. Step 6: Final answer
    x = 18,170.45

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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.