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Finding the Fourth Proportional to 22,494.82, 31,032.48 and 14,539.60

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Solution

The fourth proportional to 22,494.82, 31,032.48 and 14,539.60 is: 20,057.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,494.82 : 31,032.48 = 14,539.60 : x
  2. Step 2: Convert to fraction form
    22,494.82/31,032.48 = 14,539.60/x
  3. Step 3: Cross multiply
    22,494.82x = 31,032.48 × 14,539.60
  4. Step 4: Simplify right side
    22,494.82x = 451,199,846.21
  5. Step 5: Solve for x
    x = 451,199,846.21/22,494.82
  6. Step 6: Final answer
    x = 20,057.94

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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.