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Finding the Fourth Proportional to 27,180.84, 40,783.74 and 16,109.48

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Solution

The fourth proportional to 27,180.84, 40,783.74 and 16,109.48 is: 24,171.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,180.84 : 40,783.74 = 16,109.48 : x
  2. Step 2: Convert to fraction form
    27,180.84/40,783.74 = 16,109.48/x
  3. Step 3: Cross multiply
    27,180.84x = 40,783.74 × 16,109.48
  4. Step 4: Simplify right side
    27,180.84x = 657,004,843.86
  5. Step 5: Solve for x
    x = 657,004,843.86/27,180.84
  6. Step 6: Final answer
    x = 24,171.62

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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.