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Finding the Fourth Proportional to 14,650.09, 20,215.93 and 8,277.24

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Solution

The fourth proportional to 14,650.09, 20,215.93 and 8,277.24 is: 11,421.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,650.09 : 20,215.93 = 8,277.24 : x
  2. Step 2: Convert to fraction form
    14,650.09/20,215.93 = 8,277.24/x
  3. Step 3: Cross multiply
    14,650.09x = 20,215.93 × 8,277.24
  4. Step 4: Simplify right side
    14,650.09x = 167,332,181.56
  5. Step 5: Solve for x
    x = 167,332,181.56/14,650.09
  6. Step 6: Final answer
    x = 11,421.92

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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.