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Finding the Fourth Proportional to 24,356.16, 33,614.69 and 13,749.21

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Solution

The fourth proportional to 24,356.16, 33,614.69 and 13,749.21 is: 18,975.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,356.16 : 33,614.69 = 13,749.21 : x
  2. Step 2: Convert to fraction form
    24,356.16/33,614.69 = 13,749.21/x
  3. Step 3: Cross multiply
    24,356.16x = 33,614.69 × 13,749.21
  4. Step 4: Simplify right side
    24,356.16x = 462,175,363.15
  5. Step 5: Solve for x
    x = 462,175,363.15/24,356.16
  6. Step 6: Final answer
    x = 18,975.71

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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.