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Finding the Fourth Proportional to 23,812.64, 32,786.46 and 18,129.14

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Solution

The fourth proportional to 23,812.64, 32,786.46 and 18,129.14 is: 24,961.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,812.64 : 32,786.46 = 18,129.14 : x
  2. Step 2: Convert to fraction form
    23,812.64/32,786.46 = 18,129.14/x
  3. Step 3: Cross multiply
    23,812.64x = 32,786.46 × 18,129.14
  4. Step 4: Simplify right side
    23,812.64x = 594,390,323.44
  5. Step 5: Solve for x
    x = 594,390,323.44/23,812.64
  6. Step 6: Final answer
    x = 24,961.13

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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.