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Finding the Fourth Proportional to 14,771.16, 22,142.28 and 9,491.40

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Solution

The fourth proportional to 14,771.16, 22,142.28 and 9,491.40 is: 14,227.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,771.16 : 22,142.28 = 9,491.40 : x
  2. Step 2: Convert to fraction form
    14,771.16/22,142.28 = 9,491.40/x
  3. Step 3: Cross multiply
    14,771.16x = 22,142.28 × 9,491.40
  4. Step 4: Simplify right side
    14,771.16x = 210,161,236.39
  5. Step 5: Solve for x
    x = 210,161,236.39/14,771.16
  6. Step 6: Final answer
    x = 14,227.81

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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.