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Finding the Fourth Proportional to 23,156.80, 31,956.32 and 12,546.44

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Solution

The fourth proportional to 23,156.80, 31,956.32 and 12,546.44 is: 17,314.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,156.80 : 31,956.32 = 12,546.44 : x
  2. Step 2: Convert to fraction form
    23,156.80/31,956.32 = 12,546.44/x
  3. Step 3: Cross multiply
    23,156.80x = 31,956.32 × 12,546.44
  4. Step 4: Simplify right side
    23,156.80x = 400,938,051.50
  5. Step 5: Solve for x
    x = 400,938,051.50/23,156.80
  6. Step 6: Final answer
    x = 17,314.05

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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.