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Finding the Fourth Proportional to 14,509.63, 20,021.76 and 8,540.94

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Solution

The fourth proportional to 14,509.63, 20,021.76 and 8,540.94 is: 11,785.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,509.63 : 20,021.76 = 8,540.94 : x
  2. Step 2: Convert to fraction form
    14,509.63/20,021.76 = 8,540.94/x
  3. Step 3: Cross multiply
    14,509.63x = 20,021.76 × 8,540.94
  4. Step 4: Simplify right side
    14,509.63x = 171,004,650.85
  5. Step 5: Solve for x
    x = 171,004,650.85/14,509.63
  6. Step 6: Final answer
    x = 11,785.60

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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.