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Finding the Fourth Proportional to 12,209.50, 18,203.23 and 11,465.92

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Solution

The fourth proportional to 12,209.50, 18,203.23 and 11,465.92 is: 17,094.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,209.50 : 18,203.23 = 11,465.92 : x
  2. Step 2: Convert to fraction form
    12,209.50/18,203.23 = 11,465.92/x
  3. Step 3: Cross multiply
    12,209.50x = 18,203.23 × 11,465.92
  4. Step 4: Simplify right side
    12,209.50x = 208,716,778.92
  5. Step 5: Solve for x
    x = 208,716,778.92/12,209.50
  6. Step 6: Final answer
    x = 17,094.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.