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Finding the Fourth Proportional to 24,241.13, 33,441.53 and 14,170

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Solution

The fourth proportional to 24,241.13, 33,441.53 and 14,170 is: 19,548.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,241.13 : 33,441.53 = 14,170 : x
  2. Step 2: Convert to fraction form
    24,241.13/33,441.53 = 14,170/x
  3. Step 3: Cross multiply
    24,241.13x = 33,441.53 × 14,170
  4. Step 4: Simplify right side
    24,241.13x = 473,866,480.10
  5. Step 5: Solve for x
    x = 473,866,480.10/24,241.13
  6. Step 6: Final answer
    x = 19,548.04

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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.