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Finding the Fourth Proportional to 24,407.96, 33,682.62 and 13,797.22

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Solution

The fourth proportional to 24,407.96, 33,682.62 and 13,797.22 is: 19,039.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,407.96 : 33,682.62 = 13,797.22 : x
  2. Step 2: Convert to fraction form
    24,407.96/33,682.62 = 13,797.22/x
  3. Step 3: Cross multiply
    24,407.96x = 33,682.62 × 13,797.22
  4. Step 4: Simplify right side
    24,407.96x = 464,726,518.32
  5. Step 5: Solve for x
    x = 464,726,518.32/24,407.96
  6. Step 6: Final answer
    x = 19,039.96

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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.