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Finding the Fourth Proportional to 23,157.14, 31,956.81 and 12,546.81

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Solution

The fourth proportional to 23,157.14, 31,956.81 and 12,546.81 is: 17,314.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,157.14 : 31,956.81 = 12,546.81 : x
  2. Step 2: Convert to fraction form
    23,157.14/31,956.81 = 12,546.81/x
  3. Step 3: Cross multiply
    23,157.14x = 31,956.81 × 12,546.81
  4. Step 4: Simplify right side
    23,157.14x = 400,956,023.28
  5. Step 5: Solve for x
    x = 400,956,023.28/23,157.14
  6. Step 6: Final answer
    x = 17,314.58

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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.