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Finding the Fourth Proportional to 12,233.99, 18,346.29 and 5,209.55

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Solution

The fourth proportional to 12,233.99, 18,346.29 and 5,209.55 is: 7,812.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,233.99 : 18,346.29 = 5,209.55 : x
  2. Step 2: Convert to fraction form
    12,233.99/18,346.29 = 5,209.55/x
  3. Step 3: Cross multiply
    12,233.99x = 18,346.29 × 5,209.55
  4. Step 4: Simplify right side
    12,233.99x = 95,575,915.07
  5. Step 5: Solve for x
    x = 95,575,915.07/12,233.99
  6. Step 6: Final answer
    x = 7,812.33

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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.