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Finding the Fourth Proportional to 13,778.67, 18,966.24 and 12,007.20

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Solution

The fourth proportional to 13,778.67, 18,966.24 and 12,007.20 is: 16,527.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,778.67 : 18,966.24 = 12,007.20 : x
  2. Step 2: Convert to fraction form
    13,778.67/18,966.24 = 12,007.20/x
  3. Step 3: Cross multiply
    13,778.67x = 18,966.24 × 12,007.20
  4. Step 4: Simplify right side
    13,778.67x = 227,731,436.93
  5. Step 5: Solve for x
    x = 227,731,436.93/13,778.67
  6. Step 6: Final answer
    x = 16,527.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.