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Finding the Fourth Proportional to 24,343.50, 33,594.09 and 13,165.50

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Solution

The fourth proportional to 24,343.50, 33,594.09 and 13,165.50 is: 18,168.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,343.50 : 33,594.09 = 13,165.50 : x
  2. Step 2: Convert to fraction form
    24,343.50/33,594.09 = 13,165.50/x
  3. Step 3: Cross multiply
    24,343.50x = 33,594.09 × 13,165.50
  4. Step 4: Simplify right side
    24,343.50x = 442,282,991.90
  5. Step 5: Solve for x
    x = 442,282,991.90/24,343.50
  6. Step 6: Final answer
    x = 18,168.42

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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.