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Finding the Fourth Proportional to 13,478.97, 20,222.12 and 7,639.68

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Solution

The fourth proportional to 13,478.97, 20,222.12 and 7,639.68 is: 11,461.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.97 : 20,222.12 = 7,639.68 : x
  2. Step 2: Convert to fraction form
    13,478.97/20,222.12 = 7,639.68/x
  3. Step 3: Cross multiply
    13,478.97x = 20,222.12 × 7,639.68
  4. Step 4: Simplify right side
    13,478.97x = 154,490,487.52
  5. Step 5: Solve for x
    x = 154,490,487.52/13,478.97
  6. Step 6: Final answer
    x = 11,461.59

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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.