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Finding the Fourth Proportional to 23,146.81, 31,956.37 and 14,656.21

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Solution

The fourth proportional to 23,146.81, 31,956.37 and 14,656.21 is: 20,234.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,146.81 : 31,956.37 = 14,656.21 : x
  2. Step 2: Convert to fraction form
    23,146.81/31,956.37 = 14,656.21/x
  3. Step 3: Cross multiply
    23,146.81x = 31,956.37 × 14,656.21
  4. Step 4: Simplify right side
    23,146.81x = 468,359,269.56
  5. Step 5: Solve for x
    x = 468,359,269.56/23,146.81
  6. Step 6: Final answer
    x = 20,234.29

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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.