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Finding the Fourth Proportional to 27,178.74, 40,771.89 and 9,644.40

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Solution

The fourth proportional to 27,178.74, 40,771.89 and 9,644.40 is: 14,467.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,178.74 : 40,771.89 = 9,644.40 : x
  2. Step 2: Convert to fraction form
    27,178.74/40,771.89 = 9,644.40/x
  3. Step 3: Cross multiply
    27,178.74x = 40,771.89 × 9,644.40
  4. Step 4: Simplify right side
    27,178.74x = 393,220,415.92
  5. Step 5: Solve for x
    x = 393,220,415.92/27,178.74
  6. Step 6: Final answer
    x = 14,467.94

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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.