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Finding the Fourth Proportional to 12,205.88, 18,318.54 and 4,812.20

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Solution

The fourth proportional to 12,205.88, 18,318.54 and 4,812.20 is: 7,222.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,205.88 : 18,318.54 = 4,812.20 : x
  2. Step 2: Convert to fraction form
    12,205.88/18,318.54 = 4,812.20/x
  3. Step 3: Cross multiply
    12,205.88x = 18,318.54 × 4,812.20
  4. Step 4: Simplify right side
    12,205.88x = 88,152,478.19
  5. Step 5: Solve for x
    x = 88,152,478.19/12,205.88
  6. Step 6: Final answer
    x = 7,222.13

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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.