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Finding the Fourth Proportional to 24,500.44, 33,810 and 14,293.43

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Solution

The fourth proportional to 24,500.44, 33,810 and 14,293.43 is: 19,724.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,500.44 : 33,810 = 14,293.43 : x
  2. Step 2: Convert to fraction form
    24,500.44/33,810 = 14,293.43/x
  3. Step 3: Cross multiply
    24,500.44x = 33,810 × 14,293.43
  4. Step 4: Simplify right side
    24,500.44x = 483,260,868.30
  5. Step 5: Solve for x
    x = 483,260,868.30/24,500.44
  6. Step 6: Final answer
    x = 19,724.58

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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.