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Finding the Fourth Proportional to 23,078.34, 34,619.94 and 12,541.86

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Solution

The fourth proportional to 23,078.34, 34,619.94 and 12,541.86 is: 18,814.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,078.34 : 34,619.94 = 12,541.86 : x
  2. Step 2: Convert to fraction form
    23,078.34/34,619.94 = 12,541.86/x
  3. Step 3: Cross multiply
    23,078.34x = 34,619.94 × 12,541.86
  4. Step 4: Simplify right side
    23,078.34x = 434,198,440.69
  5. Step 5: Solve for x
    x = 434,198,440.69/23,078.34
  6. Step 6: Final answer
    x = 18,814.11

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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.