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Finding the Fourth Proportional to 24,197.84, 33,396.04 and 14,766.80

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Solution

The fourth proportional to 24,197.84, 33,396.04 and 14,766.80 is: 20,380.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,197.84 : 33,396.04 = 14,766.80 : x
  2. Step 2: Convert to fraction form
    24,197.84/33,396.04 = 14,766.80/x
  3. Step 3: Cross multiply
    24,197.84x = 33,396.04 × 14,766.80
  4. Step 4: Simplify right side
    24,197.84x = 493,152,643.47
  5. Step 5: Solve for x
    x = 493,152,643.47/24,197.84
  6. Step 6: Final answer
    x = 20,380.03

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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.