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Finding the Fourth Proportional to 23,173.81, 31,980.12 and 13,614.10

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Solution

The fourth proportional to 23,173.81, 31,980.12 and 13,614.10 is: 18,787.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,173.81 : 31,980.12 = 13,614.10 : x
  2. Step 2: Convert to fraction form
    23,173.81/31,980.12 = 13,614.10/x
  3. Step 3: Cross multiply
    23,173.81x = 31,980.12 × 13,614.10
  4. Step 4: Simplify right side
    23,173.81x = 435,380,551.69
  5. Step 5: Solve for x
    x = 435,380,551.69/23,173.81
  6. Step 6: Final answer
    x = 18,787.61

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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.