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Finding the Fourth Proportional to 14,636.71, 20,190.43 and 9,257.48

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Solution

The fourth proportional to 14,636.71, 20,190.43 and 9,257.48 is: 12,770.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,636.71 : 20,190.43 = 9,257.48 : x
  2. Step 2: Convert to fraction form
    14,636.71/20,190.43 = 9,257.48/x
  3. Step 3: Cross multiply
    14,636.71x = 20,190.43 × 9,257.48
  4. Step 4: Simplify right side
    14,636.71x = 186,912,501.92
  5. Step 5: Solve for x
    x = 186,912,501.92/14,636.71
  6. Step 6: Final answer
    x = 12,770.12

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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.