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Finding the Fourth Proportional to 12,233.49, 18,345.54 and 5,209.05

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Solution

The fourth proportional to 12,233.49, 18,345.54 and 5,209.05 is: 7,811.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,233.49 : 18,345.54 = 5,209.05 : x
  2. Step 2: Convert to fraction form
    12,233.49/18,345.54 = 5,209.05/x
  3. Step 3: Cross multiply
    12,233.49x = 18,345.54 × 5,209.05
  4. Step 4: Simplify right side
    12,233.49x = 95,562,835.14
  5. Step 5: Solve for x
    x = 95,562,835.14/12,233.49
  6. Step 6: Final answer
    x = 7,811.58

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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.