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Finding the Fourth Proportional to 24,621.48, 33,973.14 and 16,233

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Solution

The fourth proportional to 24,621.48, 33,973.14 and 16,233 is: 22,398.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,621.48 : 33,973.14 = 16,233 : x
  2. Step 2: Convert to fraction form
    24,621.48/33,973.14 = 16,233/x
  3. Step 3: Cross multiply
    24,621.48x = 33,973.14 × 16,233
  4. Step 4: Simplify right side
    24,621.48x = 551,485,981.62
  5. Step 5: Solve for x
    x = 551,485,981.62/24,621.48
  6. Step 6: Final answer
    x = 22,398.57

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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.