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Finding the Fourth Proportional to 23,238.63, 34,771.82 and 13,883.74

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Solution

The fourth proportional to 23,238.63, 34,771.82 and 13,883.74 is: 20,774.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,238.63 : 34,771.82 = 13,883.74 : x
  2. Step 2: Convert to fraction form
    23,238.63/34,771.82 = 13,883.74/x
  3. Step 3: Cross multiply
    23,238.63x = 34,771.82 × 13,883.74
  4. Step 4: Simplify right side
    23,238.63x = 482,762,751.86
  5. Step 5: Solve for x
    x = 482,762,751.86/23,238.63
  6. Step 6: Final answer
    x = 20,774.15

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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.