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Finding the Fourth Proportional to 23,777.29, 32,813.65 and 13,166.92

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Solution

The fourth proportional to 23,777.29, 32,813.65 and 13,166.92 is: 18,170.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,777.29 : 32,813.65 = 13,166.92 : x
  2. Step 2: Convert to fraction form
    23,777.29/32,813.65 = 13,166.92/x
  3. Step 3: Cross multiply
    23,777.29x = 32,813.65 × 13,166.92
  4. Step 4: Simplify right side
    23,777.29x = 432,054,704.46
  5. Step 5: Solve for x
    x = 432,054,704.46/23,777.29
  6. Step 6: Final answer
    x = 18,170.90

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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.