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Finding the Fourth Proportional to 12,180.79, 16,809.62 and 7,147.99

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Solution

The fourth proportional to 12,180.79, 16,809.62 and 7,147.99 is: 9,864.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,180.79 : 16,809.62 = 7,147.99 : x
  2. Step 2: Convert to fraction form
    12,180.79/16,809.62 = 7,147.99/x
  3. Step 3: Cross multiply
    12,180.79x = 16,809.62 × 7,147.99
  4. Step 4: Simplify right side
    12,180.79x = 120,154,995.66
  5. Step 5: Solve for x
    x = 120,154,995.66/12,180.79
  6. Step 6: Final answer
    x = 9,864.30

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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.