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Finding the Fourth Proportional to 24,614, 33,968.04 and 13,436.72

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Solution

The fourth proportional to 24,614, 33,968.04 and 13,436.72 is: 18,543.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,614 : 33,968.04 = 13,436.72 : x
  2. Step 2: Convert to fraction form
    24,614/33,968.04 = 13,436.72/x
  3. Step 3: Cross multiply
    24,614x = 33,968.04 × 13,436.72
  4. Step 4: Simplify right side
    24,614x = 456,419,042.43
  5. Step 5: Solve for x
    x = 456,419,042.43/24,614
  6. Step 6: Final answer
    x = 18,543.07

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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.