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Finding the Fourth Proportional to 16,233.78, 24,329.94 and 9,208.62

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Solution

The fourth proportional to 16,233.78, 24,329.94 and 9,208.62 is: 13,801.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,233.78 : 24,329.94 = 9,208.62 : x
  2. Step 2: Convert to fraction form
    16,233.78/24,329.94 = 9,208.62/x
  3. Step 3: Cross multiply
    16,233.78x = 24,329.94 × 9,208.62
  4. Step 4: Simplify right side
    16,233.78x = 224,045,172.08
  5. Step 5: Solve for x
    x = 224,045,172.08/16,233.78
  6. Step 6: Final answer
    x = 13,801.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.