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Finding the Fourth Proportional to 24,480.32, 33,782.74 and 13,871.96

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Solution

The fourth proportional to 24,480.32, 33,782.74 and 13,871.96 is: 19,143.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,480.32 : 33,782.74 = 13,871.96 : x
  2. Step 2: Convert to fraction form
    24,480.32/33,782.74 = 13,871.96/x
  3. Step 3: Cross multiply
    24,480.32x = 33,782.74 × 13,871.96
  4. Step 4: Simplify right side
    24,480.32x = 468,632,817.97
  5. Step 5: Solve for x
    x = 468,632,817.97/24,480.32
  6. Step 6: Final answer
    x = 19,143.25

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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.