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Finding the Fourth Proportional to 14,401, 19,865.32 and 8,431.52

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Solution

The fourth proportional to 14,401, 19,865.32 and 8,431.52 is: 11,630.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,401 : 19,865.32 = 8,431.52 : x
  2. Step 2: Convert to fraction form
    14,401/19,865.32 = 8,431.52/x
  3. Step 3: Cross multiply
    14,401x = 19,865.32 × 8,431.52
  4. Step 4: Simplify right side
    14,401x = 167,494,842.89
  5. Step 5: Solve for x
    x = 167,494,842.89/14,401
  6. Step 6: Final answer
    x = 11,630.78

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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.