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Finding the Fourth Proportional to 24,479.94, 33,782.23 and 13,871.59

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Solution

The fourth proportional to 24,479.94, 33,782.23 and 13,871.59 is: 19,142.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,479.94 : 33,782.23 = 13,871.59 : x
  2. Step 2: Convert to fraction form
    24,479.94/33,782.23 = 13,871.59/x
  3. Step 3: Cross multiply
    24,479.94x = 33,782.23 × 13,871.59
  4. Step 4: Simplify right side
    24,479.94x = 468,613,209.17
  5. Step 5: Solve for x
    x = 468,613,209.17/24,479.94
  6. Step 6: Final answer
    x = 19,142.75

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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.