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Finding the Fourth Proportional to 23,777.40, 32,812.40 and 13,166.81

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Solution

The fourth proportional to 23,777.40, 32,812.40 and 13,166.81 is: 18,169.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,777.40 : 32,812.40 = 13,166.81 : x
  2. Step 2: Convert to fraction form
    23,777.40/32,812.40 = 13,166.81/x
  3. Step 3: Cross multiply
    23,777.40x = 32,812.40 × 13,166.81
  4. Step 4: Simplify right side
    23,777.40x = 432,034,628.35
  5. Step 5: Solve for x
    x = 432,034,628.35/23,777.40
  6. Step 6: Final answer
    x = 18,169.97

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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.