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Finding the Fourth Proportional to 15,956.96, 23,914.32 and 12,245

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Solution

The fourth proportional to 15,956.96, 23,914.32 and 12,245 is: 18,351.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,956.96 : 23,914.32 = 12,245 : x
  2. Step 2: Convert to fraction form
    15,956.96/23,914.32 = 12,245/x
  3. Step 3: Cross multiply
    15,956.96x = 23,914.32 × 12,245
  4. Step 4: Simplify right side
    15,956.96x = 292,830,848.40
  5. Step 5: Solve for x
    x = 292,830,848.40/15,956.96
  6. Step 6: Final answer
    x = 18,351.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.