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Finding the Fourth Proportional to 14,480.22, 21,756.71 and 9,217.56

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Solution

The fourth proportional to 14,480.22, 21,756.71 and 9,217.56 is: 13,849.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,480.22 : 21,756.71 = 9,217.56 : x
  2. Step 2: Convert to fraction form
    14,480.22/21,756.71 = 9,217.56/x
  3. Step 3: Cross multiply
    14,480.22x = 21,756.71 × 9,217.56
  4. Step 4: Simplify right side
    14,480.22x = 200,543,733.74
  5. Step 5: Solve for x
    x = 200,543,733.74/14,480.22
  6. Step 6: Final answer
    x = 13,849.49

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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.