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Finding the Fourth Proportional to 18,077.09, 27,119.73 and 9,756.86

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Solution

The fourth proportional to 18,077.09, 27,119.73 and 9,756.86 is: 14,637.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,077.09 : 27,119.73 = 9,756.86 : x
  2. Step 2: Convert to fraction form
    18,077.09/27,119.73 = 9,756.86/x
  3. Step 3: Cross multiply
    18,077.09x = 27,119.73 × 9,756.86
  4. Step 4: Simplify right side
    18,077.09x = 264,603,408.85
  5. Step 5: Solve for x
    x = 264,603,408.85/18,077.09
  6. Step 6: Final answer
    x = 14,637.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.