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Finding the Fourth Proportional to 24,176.67, 33,361.39 and 13,420.74

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Solution

The fourth proportional to 24,176.67, 33,361.39 and 13,420.74 is: 18,519.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,176.67 : 33,361.39 = 13,420.74 : x
  2. Step 2: Convert to fraction form
    24,176.67/33,361.39 = 13,420.74/x
  3. Step 3: Cross multiply
    24,176.67x = 33,361.39 × 13,420.74
  4. Step 4: Simplify right side
    24,176.67x = 447,734,541.23
  5. Step 5: Solve for x
    x = 447,734,541.23/24,176.67
  6. Step 6: Final answer
    x = 18,519.28

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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.