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Finding the Fourth Proportional to 14,221.26, 21,332.16 and 3,832.74

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Solution

The fourth proportional to 14,221.26, 21,332.16 and 3,832.74 is: 5,749.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,221.26 : 21,332.16 = 3,832.74 : x
  2. Step 2: Convert to fraction form
    14,221.26/21,332.16 = 3,832.74/x
  3. Step 3: Cross multiply
    14,221.26x = 21,332.16 × 3,832.74
  4. Step 4: Simplify right side
    14,221.26x = 81,760,622.92
  5. Step 5: Solve for x
    x = 81,760,622.92/14,221.26
  6. Step 6: Final answer
    x = 5,749.18

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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.