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Finding the Fourth Proportional to 23,212.56, 34,820.56 and 8,421.56

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Solution

The fourth proportional to 23,212.56, 34,820.56 and 8,421.56 is: 12,632.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,212.56 : 34,820.56 = 8,421.56 : x
  2. Step 2: Convert to fraction form
    23,212.56/34,820.56 = 8,421.56/x
  3. Step 3: Cross multiply
    23,212.56x = 34,820.56 × 8,421.56
  4. Step 4: Simplify right side
    23,212.56x = 293,243,435.27
  5. Step 5: Solve for x
    x = 293,243,435.27/23,212.56
  6. Step 6: Final answer
    x = 12,632.96

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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.