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Finding the Fourth Proportional to 21,332.22, 29,447.90 and 13,782.24

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Solution

The fourth proportional to 21,332.22, 29,447.90 and 13,782.24 is: 19,025.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,332.22 : 29,447.90 = 13,782.24 : x
  2. Step 2: Convert to fraction form
    21,332.22/29,447.90 = 13,782.24/x
  3. Step 3: Cross multiply
    21,332.22x = 29,447.90 × 13,782.24
  4. Step 4: Simplify right side
    21,332.22x = 405,858,025.30
  5. Step 5: Solve for x
    x = 405,858,025.30/21,332.22
  6. Step 6: Final answer
    x = 19,025.59

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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.